# Solve the Rational Equation for x square root of 2x+7=x+3

Solve the Rational Equation for x square root of 2x+7=x+3
Move all terms not containing to the right side of the equation.
Subtract from both sides of the equation.
Subtract from .
To remove the radical on the left side of the equation, square both sides of the equation.
Simplify each side of the equation.
Use to rewrite as .
Simplify the left side.
Simplify .
Multiply the exponents in .
Apply the power rule and multiply exponents, .
Cancel the common factor of .
Cancel the common factor.
Rewrite the expression.
Simplify.
Simplify the right side.
Simplify .
Rewrite as .
Expand using the FOIL Method.
Apply the distributive property.
Apply the distributive property.
Apply the distributive property.
Simplify and combine like terms.
Simplify each term.
Multiply by .
Move to the left of .
Multiply by .
Subtract from .
Solve for .
Since is on the right side of the equation, switch the sides so it is on the left side of the equation.
Move all terms containing to the left side of the equation.
Subtract from both sides of the equation.
Subtract from .
Factor using the AC method.
Consider the form . Find a pair of integers whose product is and whose sum is . In this case, whose product is and whose sum is .
Write the factored form using these integers.
If any individual factor on the left side of the equation is equal to , the entire expression will be equal to .
Set equal to and solve for .
Set equal to .
Add to both sides of the equation.
Set equal to and solve for .
Set equal to .
Add to both sides of the equation.
The final solution is all the values that make true.
Exclude the solutions that do not make true.
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### Name

Name four hundred twelve million eight hundred forty thousand six hundred seventy-eight

### Interesting facts

• 412840678 has 16 divisors, whose sum is 638668800
• The reverse of 412840678 is 876048214
• Previous prime number is 43

### Basic properties

• Is Prime? no
• Number parity even
• Number length 9
• Sum of Digits 40
• Digital Root 4

### Name

Name one billion one hundred seventy-seven million ten thousand one hundred eighty-seven

### Interesting facts

• 1177010187 has 16 divisors, whose sum is 1585723392
• The reverse of 1177010187 is 7810107711
• Previous prime number is 197

### Basic properties

• Is Prime? no
• Number parity odd
• Number length 10
• Sum of Digits 33
• Digital Root 6

### Name

Name one billion four hundred fifty-one million eight hundred sixty-five thousand seventy-five

### Interesting facts

• 1451865075 has 8 divisors, whose sum is 2013253008
• The reverse of 1451865075 is 5705681541
• Previous prime number is 25

### Basic properties

• Is Prime? no
• Number parity odd
• Number length 10
• Sum of Digits 42
• Digital Root 6