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Simplifying 96 = (4 + x) * x Reorder the terms for easier multiplication: 96 = x(4 + x) 96 = (4 * x + x * x) 96 = (4x + x2) Solving 96 = 4x + x2 Solving for variable 'x'. Reorder the terms: 96 + -4x + -1x2 = 4x + -4x + x2 + -1x2 Combine like terms: 4x + -4x = 0 96 + -4x + -1x2 = 0 + x2 + -1x2 96 + -4x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 96 + -4x + -1x2 = 0 Factor a trinomial. (8 + -1x)(12 + x) = 0Subproblem 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 '(12 + x)' equal to zero and attempt to solve: Simplifying 12 + x = 0 Solving 12 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + x = 0 + -12 Combine like terms: 12 + -12 = 0 0 + x = 0 + -12 x = 0 + -12 Combine like terms: 0 + -12 = -12 x = -12 Simplifying x = -12Solution
x = {8, -12}
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