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Simplifying 3200 = x(160 + -2x) 3200 = (160 * x + -2x * x) 3200 = (160x + -2x2) Solving 3200 = 160x + -2x2 Solving for variable 'x'. Reorder the terms: 3200 + -160x + 2x2 = 160x + -160x + -2x2 + 2x2 Combine like terms: 160x + -160x = 0 3200 + -160x + 2x2 = 0 + -2x2 + 2x2 3200 + -160x + 2x2 = -2x2 + 2x2 Combine like terms: -2x2 + 2x2 = 0 3200 + -160x + 2x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(1600 + -80x + x2) = 0 Factor a trinomial. 2((40 + -1x)(40 + -1x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(40 + -1x)' equal to zero and attempt to solve: Simplifying 40 + -1x = 0 Solving 40 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + -40 + -1x = 0 + -40 Combine like terms: 40 + -40 = 0 0 + -1x = 0 + -40 -1x = 0 + -40 Combine like terms: 0 + -40 = -40 -1x = -40 Divide each side by '-1'. x = 40 Simplifying x = 40Subproblem 2
Set the factor '(40 + -1x)' equal to zero and attempt to solve: Simplifying 40 + -1x = 0 Solving 40 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + -40 + -1x = 0 + -40 Combine like terms: 40 + -40 = 0 0 + -1x = 0 + -40 -1x = 0 + -40 Combine like terms: 0 + -40 = -40 -1x = -40 Divide each side by '-1'. x = 40 Simplifying x = 40Solution
x = {40, 40}
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