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Simplifying x2 = 2(x + 112) Reorder the terms: x2 = 2(112 + x) x2 = (112 * 2 + x * 2) x2 = (224 + 2x) Solving x2 = 224 + 2x Solving for variable 'x'. Reorder the terms: -224 + -2x + x2 = 224 + 2x + -224 + -2x Reorder the terms: -224 + -2x + x2 = 224 + -224 + 2x + -2x Combine like terms: 224 + -224 = 0 -224 + -2x + x2 = 0 + 2x + -2x -224 + -2x + x2 = 2x + -2x Combine like terms: 2x + -2x = 0 -224 + -2x + x2 = 0 Factor a trinomial. (-14 + -1x)(16 + -1x) = 0Subproblem 1
Set the factor '(-14 + -1x)' equal to zero and attempt to solve: Simplifying -14 + -1x = 0 Solving -14 + -1x = 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 + -1x = 0 + 14 Combine like terms: -14 + 14 = 0 0 + -1x = 0 + 14 -1x = 0 + 14 Combine like terms: 0 + 14 = 14 -1x = 14 Divide each side by '-1'. x = -14 Simplifying x = -14Subproblem 2
Set the factor '(16 + -1x)' equal to zero and attempt to solve: Simplifying 16 + -1x = 0 Solving 16 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + -1x = 0 + -16 Combine like terms: 16 + -16 = 0 0 + -1x = 0 + -16 -1x = 0 + -16 Combine like terms: 0 + -16 = -16 -1x = -16 Divide each side by '-1'. x = 16 Simplifying x = 16Solution
x = {-14, 16}
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