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 five hundred million four hundred thirty-two thousand five hundred fifty-seven

Interesting facts

  • 1500432557 has 4 divisors, whose sum is 1615850460
  • The reverse of 1500432557 is 7552340051
  • Previous prime number is 13

Basic properties

  • Is Prime? no
  • Number parity odd
  • Number length 10
  • Sum of Digits 32
  • Digital Root 5

Name

Name seven hundred ninety-six million sixty-five thousand three hundred eighty-two

Interesting facts

  • 796065382 has 32 divisors, whose sum is 1444896000
  • The reverse of 796065382 is 283560697
  • Previous prime number is 173

Basic properties

  • Is Prime? no
  • Number parity even
  • Number length 9
  • Sum of Digits 46
  • Digital Root 1

Name

Name one billion forty-seven million seven hundred ninety-four thousand six hundred twenty-nine

Interesting facts

  • 1047794629 has 8 divisors, whose sum is 1217776320
  • The reverse of 1047794629 is 9264977401
  • Previous prime number is 7

Basic properties

  • Is Prime? no
  • Number parity odd
  • Number length 10
  • Sum of Digits 49
  • Digital Root 4