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Simplifying 960 = x(2x + 8) Reorder the terms: 960 = x(8 + 2x) 960 = (8 * x + 2x * x) 960 = (8x + 2x2) Solving 960 = 8x + 2x2 Solving for variable 'x'. Reorder the terms: 960 + -8x + -2x2 = 8x + -8x + 2x2 + -2x2 Combine like terms: 8x + -8x = 0 960 + -8x + -2x2 = 0 + 2x2 + -2x2 960 + -8x + -2x2 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 960 + -8x + -2x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(480 + -4x + -1x2) = 0 Factor a trinomial. 2((20 + -1x)(24 + 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 '(24 + x)' equal to zero and attempt to solve: Simplifying 24 + x = 0 Solving 24 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + x = 0 + -24 Combine like terms: 24 + -24 = 0 0 + x = 0 + -24 x = 0 + -24 Combine like terms: 0 + -24 = -24 x = -24 Simplifying x = -24Solution
x = {20, -24}
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