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Simplifying 168 + -1x(x + -9) = 11x Reorder the terms: 168 + -1x(-9 + x) = 11x 168 + (-9 * -1x + x * -1x) = 11x 168 + (9x + -1x2) = 11x Solving 168 + 9x + -1x2 = 11x Solving for variable 'x'. Reorder the terms: 168 + 9x + -11x + -1x2 = 11x + -11x Combine like terms: 9x + -11x = -2x 168 + -2x + -1x2 = 11x + -11x Combine like terms: 11x + -11x = 0 168 + -2x + -1x2 = 0 Factor a trinomial. (12 + -1x)(14 + x) = 0Subproblem 1
Set the factor '(12 + -1x)' equal to zero and attempt to solve: Simplifying 12 + -1x = 0 Solving 12 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -1x = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -1x = 0 + -12 -1x = 0 + -12 Combine like terms: 0 + -12 = -12 -1x = -12 Divide each side by '-1'. x = 12 Simplifying x = 12Subproblem 2
Set the factor '(14 + x)' equal to zero and attempt to solve: Simplifying 14 + x = 0 Solving 14 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + x = 0 + -14 Combine like terms: 14 + -14 = 0 0 + x = 0 + -14 x = 0 + -14 Combine like terms: 0 + -14 = -14 x = -14 Simplifying x = -14Solution
x = {12, -14}
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