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Simplifying (x + 12) * 8 = 4x * x Reorder the terms: (12 + x) * 8 = 4x * x Reorder the terms for easier multiplication: 8(12 + x) = 4x * x (12 * 8 + x * 8) = 4x * x (96 + 8x) = 4x * x Multiply x * x 96 + 8x = 4x2 Solving 96 + 8x = 4x2 Solving for variable 'x'. Combine like terms: 4x2 + -4x2 = 0 96 + 8x + -4x2 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(24 + 2x + -1x2) = 0 Factor a trinomial. 4((6 + -1x)(4 + x)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(6 + -1x)' equal to zero and attempt to solve: Simplifying 6 + -1x = 0 Solving 6 + -1x = 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 + -1x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1x = 0 + -6 -1x = 0 + -6 Combine like terms: 0 + -6 = -6 -1x = -6 Divide each side by '-1'. x = 6 Simplifying x = 6Subproblem 2
Set the factor '(4 + x)' equal to zero and attempt to solve: Simplifying 4 + x = 0 Solving 4 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + x = 0 + -4 x = 0 + -4 Combine like terms: 0 + -4 = -4 x = -4 Simplifying x = -4Solution
x = {6, -4}
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