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Simplifying 320 = (2x + 12) * x Reorder the terms: 320 = (12 + 2x) * x Reorder the terms for easier multiplication: 320 = x(12 + 2x) 320 = (12 * x + 2x * x) 320 = (12x + 2x2) Solving 320 = 12x + 2x2 Solving for variable 'x'. Reorder the terms: 320 + -12x + -2x2 = 12x + -12x + 2x2 + -2x2 Combine like terms: 12x + -12x = 0 320 + -12x + -2x2 = 0 + 2x2 + -2x2 320 + -12x + -2x2 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 320 + -12x + -2x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(160 + -6x + -1x2) = 0 Factor a trinomial. 2((10 + -1x)(16 + x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(10 + -1x)' equal to zero and attempt to solve: Simplifying 10 + -1x = 0 Solving 10 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -1x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -1x = 0 + -10 -1x = 0 + -10 Combine like terms: 0 + -10 = -10 -1x = -10 Divide each side by '-1'. x = 10 Simplifying x = 10Subproblem 2
Set the factor '(16 + x)' equal to zero and attempt to solve: Simplifying 16 + x = 0 Solving 16 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + x = 0 + -16 Combine like terms: 16 + -16 = 0 0 + x = 0 + -16 x = 0 + -16 Combine like terms: 0 + -16 = -16 x = -16 Simplifying x = -16Solution
x = {10, -16}
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