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Simplifying x2 + -63 = 2x + 132 Reorder the terms: -63 + x2 = 2x + 132 Reorder the terms: -63 + x2 = 132 + 2x Solving -63 + x2 = 132 + 2x Solving for variable 'x'. Reorder the terms: -63 + -132 + -2x + x2 = 132 + 2x + -132 + -2x Combine like terms: -63 + -132 = -195 -195 + -2x + x2 = 132 + 2x + -132 + -2x Reorder the terms: -195 + -2x + x2 = 132 + -132 + 2x + -2x Combine like terms: 132 + -132 = 0 -195 + -2x + x2 = 0 + 2x + -2x -195 + -2x + x2 = 2x + -2x Combine like terms: 2x + -2x = 0 -195 + -2x + x2 = 0 Factor a trinomial. (-13 + -1x)(15 + -1x) = 0Subproblem 1
Set the factor '(-13 + -1x)' equal to zero and attempt to solve: Simplifying -13 + -1x = 0 Solving -13 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + -1x = 0 + 13 Combine like terms: -13 + 13 = 0 0 + -1x = 0 + 13 -1x = 0 + 13 Combine like terms: 0 + 13 = 13 -1x = 13 Divide each side by '-1'. x = -13 Simplifying x = -13Subproblem 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 = {-13, 15}
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