(x-9)*(x)=136

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Solution for (x-9)*(x)=136 equation:


Simplifying
(x + -9)(x) = 136

Reorder the terms:
(-9 + x)(x) = 136

Reorder the terms for easier multiplication:
x(-9 + x) = 136
(-9 * x + x * x) = 136
(-9x + x2) = 136

Solving
-9x + x2 = 136

Solving for variable 'x'.

Reorder the terms:
-136 + -9x + x2 = 136 + -136

Combine like terms: 136 + -136 = 0
-136 + -9x + x2 = 0

Factor a trinomial.
(-8 + -1x)(17 + -1x) = 0

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 '(17 + -1x)' equal to zero and attempt to solve: Simplifying 17 + -1x = 0 Solving 17 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + -1x = 0 + -17 Combine like terms: 17 + -17 = 0 0 + -1x = 0 + -17 -1x = 0 + -17 Combine like terms: 0 + -17 = -17 -1x = -17 Divide each side by '-1'. x = 17 Simplifying x = 17

Solution

x = {-8, 17}

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