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Simplifying 96 = x(2x + -4) Reorder the terms: 96 = x(-4 + 2x) 96 = (-4 * x + 2x * x) 96 = (-4x + 2x2) Solving 96 = -4x + 2x2 Solving for variable 'x'. Reorder the terms: 96 + 4x + -2x2 = -4x + 4x + 2x2 + -2x2 Combine like terms: -4x + 4x = 0 96 + 4x + -2x2 = 0 + 2x2 + -2x2 96 + 4x + -2x2 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 96 + 4x + -2x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(48 + 2x + -1x2) = 0 Factor a trinomial. 2((8 + -1x)(6 + x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(8 + -1x)' equal to zero and attempt to solve: Simplifying 8 + -1x = 0 Solving 8 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1x = 0 + -8 -1x = 0 + -8 Combine like terms: 0 + -8 = -8 -1x = -8 Divide each side by '-1'. x = 8 Simplifying x = 8Subproblem 2
Set the factor '(6 + x)' equal to zero and attempt to solve: Simplifying 6 + x = 0 Solving 6 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + x = 0 + -6 x = 0 + -6 Combine like terms: 0 + -6 = -6 x = -6 Simplifying x = -6Solution
x = {8, -6}
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