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Simplifying (x + -2) * x = 224 Reorder the terms: (-2 + x) * x = 224 Reorder the terms for easier multiplication: x(-2 + x) = 224 (-2 * x + x * x) = 224 (-2x + x2) = 224 Solving -2x + x2 = 224 Solving for variable 'x'. Reorder the terms: -224 + -2x + x2 = 224 + -224 Combine like terms: 224 + -224 = 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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