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Simplifying x2 + 10x + -1(12x + -168) = 528 Reorder the terms: x2 + 10x + -1(-168 + 12x) = 528 x2 + 10x + (-168 * -1 + 12x * -1) = 528 x2 + 10x + (168 + -12x) = 528 Reorder the terms: 168 + 10x + -12x + x2 = 528 Combine like terms: 10x + -12x = -2x 168 + -2x + x2 = 528 Solving 168 + -2x + x2 = 528 Solving for variable 'x'. Reorder the terms: 168 + -528 + -2x + x2 = 528 + -528 Combine like terms: 168 + -528 = -360 -360 + -2x + x2 = 528 + -528 Combine like terms: 528 + -528 = 0 -360 + -2x + x2 = 0 Factor a trinomial. (-18 + -1x)(20 + -1x) = 0Subproblem 1
Set the factor '(-18 + -1x)' equal to zero and attempt to solve: Simplifying -18 + -1x = 0 Solving -18 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + -1x = 0 + 18 Combine like terms: -18 + 18 = 0 0 + -1x = 0 + 18 -1x = 0 + 18 Combine like terms: 0 + 18 = 18 -1x = 18 Divide each side by '-1'. x = -18 Simplifying x = -18Subproblem 2
Set the factor '(20 + -1x)' equal to zero and attempt to solve: Simplifying 20 + -1x = 0 Solving 20 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + -1x = 0 + -20 Combine like terms: 20 + -20 = 0 0 + -1x = 0 + -20 -1x = 0 + -20 Combine like terms: 0 + -20 = -20 -1x = -20 Divide each side by '-1'. x = 20 Simplifying x = 20Solution
x = {-18, 20}
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