Multiply the numerator of the first fraction by the denominator of the second fraction. Set this equal to the product of the denominator of the first fraction and the numerator of the second fraction.

Rewrite the equation as <math><mstyle displaystyle="true"><mi>x</mi><mo>⋅</mo><mrow><mo>(</mo><mi>x</mi><mo>+</mo><mn>3</mn><mo>)</mo></mrow><mo>=</mo><mn>5</mn><mo>⋅</mo><mn>6</mn></mstyle></math> .

Simplify <math><mstyle displaystyle="true"><mi>x</mi><mo>⋅</mo><mrow><mo>(</mo><mi>x</mi><mo>+</mo><mn>3</mn><mo>)</mo></mrow></mstyle></math> .

Apply the distributive property.

Simplify the expression.

Multiply <math><mstyle displaystyle="true"><mi>x</mi></mstyle></math> by <math><mstyle displaystyle="true"><mi>x</mi></mstyle></math> .

Move <math><mstyle displaystyle="true"><mn>3</mn></mstyle></math> to the left of <math><mstyle displaystyle="true"><mi>x</mi></mstyle></math> .

Multiply <math><mstyle displaystyle="true"><mn>5</mn></mstyle></math> by <math><mstyle displaystyle="true"><mn>6</mn></mstyle></math> .

Move <math><mstyle displaystyle="true"><mn>30</mn></mstyle></math> to the left side of the equation by subtracting it from both sides.

Use the quadratic formula to find the solutions.

Substitute the values <math><mstyle displaystyle="true"><mi>a</mi><mo>=</mo><mn>1</mn></mstyle></math> , <math><mstyle displaystyle="true"><mi>b</mi><mo>=</mo><mn>3</mn></mstyle></math> , and <math><mstyle displaystyle="true"><mi>c</mi><mo>=</mo><mo>-</mo><mn>30</mn></mstyle></math> into the quadratic formula and solve for <math><mstyle displaystyle="true"><mi>x</mi></mstyle></math> .

Simplify.

Simplify the numerator.

Raise <math><mstyle displaystyle="true"><mn>3</mn></mstyle></math> to the power of <math><mstyle displaystyle="true"><mn>2</mn></mstyle></math> .

Multiply <math><mstyle displaystyle="true"><mo>-</mo><mn>30</mn></mstyle></math> by <math><mstyle displaystyle="true"><mn>1</mn></mstyle></math> .

Multiply <math><mstyle displaystyle="true"><mo>-</mo><mn>4</mn></mstyle></math> by <math><mstyle displaystyle="true"><mo>-</mo><mn>30</mn></mstyle></math> .

Add <math><mstyle displaystyle="true"><mn>9</mn></mstyle></math> and <math><mstyle displaystyle="true"><mn>120</mn></mstyle></math> .

Multiply <math><mstyle displaystyle="true"><mn>2</mn></mstyle></math> by <math><mstyle displaystyle="true"><mn>1</mn></mstyle></math> .

The final answer is the combination of both solutions.

The result can be shown in multiple forms.

Exact Form:

Decimal Form:

Do you know how to Solve for x 5/x=(x+3)/6? If not, you can write to our math experts in our application. The best solution for your task you can find above on this page.

Name | one billion five hundred seventy-four million five hundred ninety-nine thousand two hundred seventy-six |
---|

- 1574599276 has 32 divisors, whose sum is
**3569495040** - The reverse of 1574599276 is
**6729954751** - Previous prime number is
**607**

- Is Prime? no
- Number parity even
- Number length 10
- Sum of Digits 55
- Digital Root 1

Name | eight hundred seventy million seven hundred fifty-eight thousand three hundred ninety-seven |
---|

- 870758397 has 32 divisors, whose sum is
**2066343936** - The reverse of 870758397 is
**793857078** - Previous prime number is
**911**

- Is Prime? no
- Number parity odd
- Number length 9
- Sum of Digits 54
- Digital Root 9

Name | one billion three hundred thirty-three million eight hundred thirty-nine thousand six hundred twenty-eight |
---|

- 1333839628 has 64 divisors, whose sum is
**3608551296** - The reverse of 1333839628 is
**8269383331** - Previous prime number is
**97**

- Is Prime? no
- Number parity even
- Number length 10
- Sum of Digits 46
- Digital Root 1