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Simplifying x2 = 6x + 135 Reorder the terms: x2 = 135 + 6x Solving x2 = 135 + 6x Solving for variable 'x'. Reorder the terms: -135 + -6x + x2 = 135 + 6x + -135 + -6x Reorder the terms: -135 + -6x + x2 = 135 + -135 + 6x + -6x Combine like terms: 135 + -135 = 0 -135 + -6x + x2 = 0 + 6x + -6x -135 + -6x + x2 = 6x + -6x Combine like terms: 6x + -6x = 0 -135 + -6x + x2 = 0 Factor a trinomial. (-9 + -1x)(15 + -1x) = 0Subproblem 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 = -9Subproblem 2
Set the factor '(15 + -1x)' equal to zero and attempt to solve: Simplifying 15 + -1x = 0 Solving 15 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -1x = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -1x = 0 + -15 -1x = 0 + -15 Combine like terms: 0 + -15 = -15 -1x = -15 Divide each side by '-1'. x = 15 Simplifying x = 15Solution
x = {-9, 15}
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