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Simplifying 760 = (2x + -2)(x) Reorder the terms: 760 = (-2 + 2x)(x) Reorder the terms for easier multiplication: 760 = x(-2 + 2x) 760 = (-2 * x + 2x * x) 760 = (-2x + 2x2) Solving 760 = -2x + 2x2 Solving for variable 'x'. Reorder the terms: 760 + 2x + -2x2 = -2x + 2x + 2x2 + -2x2 Combine like terms: -2x + 2x = 0 760 + 2x + -2x2 = 0 + 2x2 + -2x2 760 + 2x + -2x2 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 760 + 2x + -2x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(380 + x + -1x2) = 0 Factor a trinomial. 2((20 + -1x)(19 + x)) = 0 Ignore the factor 2.Subproblem 1
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 = 20Subproblem 2
Set the factor '(19 + x)' equal to zero and attempt to solve: Simplifying 19 + x = 0 Solving 19 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + x = 0 + -19 Combine like terms: 19 + -19 = 0 0 + x = 0 + -19 x = 0 + -19 Combine like terms: 0 + -19 = -19 x = -19 Simplifying x = -19Solution
x = {20, -19}
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