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Simplifying 2x2 + -2x = 120 * 119 Reorder the terms: -2x + 2x2 = 120 * 119 Multiply 120 * 119 -2x + 2x2 = 14280 Solving -2x + 2x2 = 14280 Solving for variable 'x'. Reorder the terms: -14280 + -2x + 2x2 = 14280 + -14280 Combine like terms: 14280 + -14280 = 0 -14280 + -2x + 2x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-7140 + -1x + x2) = 0 Factor a trinomial. 2((-84 + -1x)(85 + -1x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-84 + -1x)' equal to zero and attempt to solve: Simplifying -84 + -1x = 0 Solving -84 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '84' to each side of the equation. -84 + 84 + -1x = 0 + 84 Combine like terms: -84 + 84 = 0 0 + -1x = 0 + 84 -1x = 0 + 84 Combine like terms: 0 + 84 = 84 -1x = 84 Divide each side by '-1'. x = -84 Simplifying x = -84Subproblem 2
Set the factor '(85 + -1x)' equal to zero and attempt to solve: Simplifying 85 + -1x = 0 Solving 85 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-85' to each side of the equation. 85 + -85 + -1x = 0 + -85 Combine like terms: 85 + -85 = 0 0 + -1x = 0 + -85 -1x = 0 + -85 Combine like terms: 0 + -85 = -85 -1x = -85 Divide each side by '-1'. x = 85 Simplifying x = 85Solution
x = {-84, 85}
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