(2x-8)(x)=234

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Solution for (2x-8)(x)=234 equation:


Simplifying
(2x + -8)(x) = 234

Reorder the terms:
(-8 + 2x)(x) = 234

Reorder the terms for easier multiplication:
x(-8 + 2x) = 234
(-8 * x + 2x * x) = 234
(-8x + 2x2) = 234

Solving
-8x + 2x2 = 234

Solving for variable 'x'.

Reorder the terms:
-234 + -8x + 2x2 = 234 + -234

Combine like terms: 234 + -234 = 0
-234 + -8x + 2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-117 + -4x + x2) = 0

Factor a trinomial.
2((-9 + -1x)(13 + -1x)) = 0

Ignore the factor 2.

Subproblem 1

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

Subproblem 2

Set the factor '(13 + -1x)' equal to zero and attempt to solve: Simplifying 13 + -1x = 0 Solving 13 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + -1x = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -1x = 0 + -13 -1x = 0 + -13 Combine like terms: 0 + -13 = -13 -1x = -13 Divide each side by '-1'. x = 13 Simplifying x = 13

Solution

x = {-9, 13}

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