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