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Simplifying x2 + 72x + -640 = 0 Reorder the terms: -640 + 72x + x2 = 0 Solving -640 + 72x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (-80 + -1x)(8 + -1x) = 0Subproblem 1
Set the factor '(-80 + -1x)' equal to zero and attempt to solve: Simplifying -80 + -1x = 0 Solving -80 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '80' to each side of the equation. -80 + 80 + -1x = 0 + 80 Combine like terms: -80 + 80 = 0 0 + -1x = 0 + 80 -1x = 0 + 80 Combine like terms: 0 + 80 = 80 -1x = 80 Divide each side by '-1'. x = -80 Simplifying x = -80Subproblem 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 = {-80, 8}
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