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Simplifying x(x + -3) * 2 = 80 Reorder the terms: x(-3 + x) * 2 = 80 Reorder the terms for easier multiplication: 2x(-3 + x) = 80 (-3 * 2x + x * 2x) = 80 (-6x + 2x2) = 80 Solving -6x + 2x2 = 80 Solving for variable 'x'. Reorder the terms: -80 + -6x + 2x2 = 80 + -80 Combine like terms: 80 + -80 = 0 -80 + -6x + 2x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-40 + -3x + x2) = 0 Factor a trinomial. 2((-5 + -1x)(8 + -1x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-5 + -1x)' equal to zero and attempt to solve: Simplifying -5 + -1x = 0 Solving -5 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -1x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -1x = 0 + 5 -1x = 0 + 5 Combine like terms: 0 + 5 = 5 -1x = 5 Divide each side by '-1'. x = -5 Simplifying x = -5Subproblem 2
Set the factor '(8 + -1x)' equal to zero and attempt to solve: Simplifying 8 + -1x = 0 Solving 8 + -1x = 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 + -1x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1x = 0 + -8 -1x = 0 + -8 Combine like terms: 0 + -8 = -8 -1x = -8 Divide each side by '-1'. x = 8 Simplifying x = 8Solution
x = {-5, 8}
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