Solve for x square root of 2x+12=x-6

Solve for x square root of 2x+12=x-6
To remove the radical on the left side of the equation, square both sides of the equation.
Simplify each side of the equation.
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Multiply the exponents in .
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Apply the power rule and multiply exponents, .
Cancel the common factor of .
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Cancel the common factor.
Rewrite the expression.
Simplify.
Solve for .
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Simplify .
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Rewrite as .
Expand using the FOIL Method.
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Apply the distributive property.
Apply the distributive property.
Apply the distributive property.
Simplify and combine like terms.
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Simplify each term.
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Multiply by .
Move to the left of .
Multiply by .
Subtract from .
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.
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Subtract from both sides of the equation.
Subtract from .
Move to the left side of the equation by subtracting it from both sides.
Subtract from .
Factor using the AC method.
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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 the first factor equal to and solve.
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Set the first factor equal to .
Add to both sides of the equation.
Set the next factor equal to and solve.
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Set the next factor 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 one billion six hundred twenty-eight million seven hundred fifty-seven thousand one hundred seventy-three

Interesting facts

  • 1628757173 has 8 divisors, whose sum is 1633020480
  • The reverse of 1628757173 is 3717578261
  • Previous prime number is 1091

Basic properties

  • Is Prime? no
  • Number parity odd
  • Number length 10
  • Sum of Digits 47
  • Digital Root 2

Name

Name one billion eight hundred ten million eight hundred ninety-three thousand fifty-seven

Interesting facts

  • 1810893057 has 32 divisors, whose sum is 2601849600
  • The reverse of 1810893057 is 7503980181
  • Previous prime number is 89

Basic properties

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

Name

Name three hundred forty million seven hundred eleven thousand one hundred two

Interesting facts

  • 340711102 has 8 divisors, whose sum is 511165512
  • The reverse of 340711102 is 201117043
  • Previous prime number is 26531

Basic properties

  • Is Prime? no
  • Number parity even
  • Number length 9
  • Sum of Digits 19
  • Digital Root 1