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Simplifying 4(x + 6)(x + 6) + -4 = 140 Reorder the terms: 4(6 + x)(x + 6) + -4 = 140 Reorder the terms: 4(6 + x)(6 + x) + -4 = 140 Multiply (6 + x) * (6 + x) 4(6(6 + x) + x(6 + x)) + -4 = 140 4((6 * 6 + x * 6) + x(6 + x)) + -4 = 140 4((36 + 6x) + x(6 + x)) + -4 = 140 4(36 + 6x + (6 * x + x * x)) + -4 = 140 4(36 + 6x + (6x + x2)) + -4 = 140 Combine like terms: 6x + 6x = 12x 4(36 + 12x + x2) + -4 = 140 (36 * 4 + 12x * 4 + x2 * 4) + -4 = 140 (144 + 48x + 4x2) + -4 = 140 Reorder the terms: 144 + -4 + 48x + 4x2 = 140 Combine like terms: 144 + -4 = 140 140 + 48x + 4x2 = 140 Add '-140' to each side of the equation. 140 + 48x + -140 + 4x2 = 140 + -140 Reorder the terms: 140 + -140 + 48x + 4x2 = 140 + -140 Combine like terms: 140 + -140 = 0 0 + 48x + 4x2 = 140 + -140 48x + 4x2 = 140 + -140 Combine like terms: 140 + -140 = 0 48x + 4x2 = 0 Solving 48x + 4x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '4x'. 4x(12 + x) = 0 Ignore the factor 4.Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 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 = {0, -12}
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