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Simplifying x2 + 23 + 10x + -6 = 136 Reorder the terms: 23 + -6 + 10x + x2 = 136 Combine like terms: 23 + -6 = 17 17 + 10x + x2 = 136 Solving 17 + 10x + x2 = 136 Solving for variable 'x'. Reorder the terms: 17 + -136 + 10x + x2 = 136 + -136 Combine like terms: 17 + -136 = -119 -119 + 10x + x2 = 136 + -136 Combine like terms: 136 + -136 = 0 -119 + 10x + x2 = 0 Factor a trinomial. (-17 + -1x)(7 + -1x) = 0Subproblem 1
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 = -17Subproblem 2
Set the factor '(7 + -1x)' equal to zero and attempt to solve: Simplifying 7 + -1x = 0 Solving 7 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -1x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1x = 0 + -7 -1x = 0 + -7 Combine like terms: 0 + -7 = -7 -1x = -7 Divide each side by '-1'. x = 7 Simplifying x = 7Solution
x = {-17, 7}
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