x*(2x-2)=144

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Solution for x*(2x-2)=144 equation:


Simplifying
x(2x + -2) = 144

Reorder the terms:
x(-2 + 2x) = 144
(-2 * x + 2x * x) = 144
(-2x + 2x2) = 144

Solving
-2x + 2x2 = 144

Solving for variable 'x'.

Reorder the terms:
-144 + -2x + 2x2 = 144 + -144

Combine like terms: 144 + -144 = 0
-144 + -2x + 2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-72 + -1x + x2) = 0

Factor a trinomial.
2((-8 + -1x)(9 + -1x)) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-8 + -1x)' equal to zero and attempt to solve: Simplifying -8 + -1x = 0 Solving -8 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -1x = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -1x = 0 + 8 -1x = 0 + 8 Combine like terms: 0 + 8 = 8 -1x = 8 Divide each side by '-1'. x = -8 Simplifying x = -8

Subproblem 2

Set the factor '(9 + -1x)' equal to zero and attempt to solve: Simplifying 9 + -1x = 0 Solving 9 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -1x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1x = 0 + -9 -1x = 0 + -9 Combine like terms: 0 + -9 = -9 -1x = -9 Divide each side by '-1'. x = 9 Simplifying x = 9

Solution

x = {-8, 9}

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