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Simplifying 132 = (x + 2)(x + 6) + -1x(x + -2) Reorder the terms: 132 = (2 + x)(x + 6) + -1x(x + -2) Reorder the terms: 132 = (2 + x)(6 + x) + -1x(x + -2) Multiply (2 + x) * (6 + x) 132 = (2(6 + x) + x(6 + x)) + -1x(x + -2) 132 = ((6 * 2 + x * 2) + x(6 + x)) + -1x(x + -2) 132 = ((12 + 2x) + x(6 + x)) + -1x(x + -2) 132 = (12 + 2x + (6 * x + x * x)) + -1x(x + -2) 132 = (12 + 2x + (6x + x2)) + -1x(x + -2) Combine like terms: 2x + 6x = 8x 132 = (12 + 8x + x2) + -1x(x + -2) Reorder the terms: 132 = 12 + 8x + x2 + -1x(-2 + x) 132 = 12 + 8x + x2 + (-2 * -1x + x * -1x) 132 = 12 + 8x + x2 + (2x + -1x2) Reorder the terms: 132 = 12 + 8x + 2x + x2 + -1x2 Combine like terms: 8x + 2x = 10x 132 = 12 + 10x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 132 = 12 + 10x + 0 132 = 12 + 10x Solving 132 = 12 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 132 + -10x = 12 + 10x + -10x Combine like terms: 10x + -10x = 0 132 + -10x = 12 + 0 132 + -10x = 12 Add '-132' to each side of the equation. 132 + -132 + -10x = 12 + -132 Combine like terms: 132 + -132 = 0 0 + -10x = 12 + -132 -10x = 12 + -132 Combine like terms: 12 + -132 = -120 -10x = -120 Divide each side by '-10'. x = 12 Simplifying x = 12
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