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Simplifying 0 = 40x2 + -80x + -3200 Reorder the terms: 0 = -3200 + -80x + 40x2 Solving 0 = -3200 + -80x + 40x2 Solving for variable 'x'. Combine like terms: 0 + 3200 = 3200 3200 + 80x + -40x2 = -3200 + -80x + 40x2 + 3200 + 80x + -40x2 Reorder the terms: 3200 + 80x + -40x2 = -3200 + 3200 + -80x + 80x + 40x2 + -40x2 Combine like terms: -3200 + 3200 = 0 3200 + 80x + -40x2 = 0 + -80x + 80x + 40x2 + -40x2 3200 + 80x + -40x2 = -80x + 80x + 40x2 + -40x2 Combine like terms: -80x + 80x = 0 3200 + 80x + -40x2 = 0 + 40x2 + -40x2 3200 + 80x + -40x2 = 40x2 + -40x2 Combine like terms: 40x2 + -40x2 = 0 3200 + 80x + -40x2 = 0 Factor out the Greatest Common Factor (GCF), '40'. 40(80 + 2x + -1x2) = 0 Factor a trinomial. 40((10 + -1x)(8 + x)) = 0 Ignore the factor 40.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 '(8 + x)' equal to zero and attempt to solve: Simplifying 8 + x = 0 Solving 8 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + x = 0 + -8 x = 0 + -8 Combine like terms: 0 + -8 = -8 x = -8 Simplifying x = -8Solution
x = {10, -8}
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