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Simplifying (2x + 20)(3x + 16) + -1(3x)(2x) = 0 Reorder the terms: (20 + 2x)(3x + 16) + -1(3x)(2x) = 0 Reorder the terms: (20 + 2x)(16 + 3x) + -1(3x)(2x) = 0 Multiply (20 + 2x) * (16 + 3x) (20(16 + 3x) + 2x * (16 + 3x)) + -1(3x)(2x) = 0 ((16 * 20 + 3x * 20) + 2x * (16 + 3x)) + -1(3x)(2x) = 0 ((320 + 60x) + 2x * (16 + 3x)) + -1(3x)(2x) = 0 (320 + 60x + (16 * 2x + 3x * 2x)) + -1(3x)(2x) = 0 (320 + 60x + (32x + 6x2)) + -1(3x)(2x) = 0 Combine like terms: 60x + 32x = 92x (320 + 92x + 6x2) + -1(3x)(2x) = 0 Remove parenthesis around (3x) 320 + 92x + 6x2 + -1 * 3x(2x) = 0 Remove parenthesis around (2x) 320 + 92x + 6x2 + -1 * 3x * 2x = 0 Reorder the terms for easier multiplication: 320 + 92x + 6x2 + -1 * 3 * 2x * x = 0 Multiply -1 * 3 320 + 92x + 6x2 + -3 * 2x * x = 0 Multiply -3 * 2 320 + 92x + 6x2 + -6x * x = 0 Multiply x * x 320 + 92x + 6x2 + -6x2 = 0 Combine like terms: 6x2 + -6x2 = 0 320 + 92x + 0 = 0 320 + 92x = 0 Solving 320 + 92x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-320' to each side of the equation. 320 + -320 + 92x = 0 + -320 Combine like terms: 320 + -320 = 0 0 + 92x = 0 + -320 92x = 0 + -320 Combine like terms: 0 + -320 = -320 92x = -320 Divide each side by '92'. x = -3.47826087 Simplifying x = -3.47826087
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