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Simplifying (x + 2)(x + 6) = 12 Reorder the terms: (2 + x)(x + 6) = 12 Reorder the terms: (2 + x)(6 + x) = 12 Multiply (2 + x) * (6 + x) (2(6 + x) + x(6 + x)) = 12 ((6 * 2 + x * 2) + x(6 + x)) = 12 ((12 + 2x) + x(6 + x)) = 12 (12 + 2x + (6 * x + x * x)) = 12 (12 + 2x + (6x + x2)) = 12 Combine like terms: 2x + 6x = 8x (12 + 8x + x2) = 12 Add '-12' to each side of the equation. 12 + 8x + -12 + x2 = 12 + -12 Reorder the terms: 12 + -12 + 8x + x2 = 12 + -12 Combine like terms: 12 + -12 = 0 0 + 8x + x2 = 12 + -12 8x + x2 = 12 + -12 Combine like terms: 12 + -12 = 0 8x + x2 = 0 Solving 8x + x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(8 + x) = 0Subproblem 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 '(8 + x)' equal to zero and attempt to solve: Simplifying 8 + x = 0 Solving 8 + x = 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 + x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + x = 0 + -8 x = 0 + -8 Combine like terms: 0 + -8 = -8 x = -8 Simplifying x = -8Solution
x = {0, -8}
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