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Simplifying x(x + 2) = 6560 Reorder the terms: x(2 + x) = 6560 (2 * x + x * x) = 6560 (2x + x2) = 6560 Solving 2x + x2 = 6560 Solving for variable 'x'. Reorder the terms: -6560 + 2x + x2 = 6560 + -6560 Combine like terms: 6560 + -6560 = 0 -6560 + 2x + x2 = 0 Factor a trinomial. (-82 + -1x)(80 + -1x) = 0Subproblem 1
Set the factor '(-82 + -1x)' equal to zero and attempt to solve: Simplifying -82 + -1x = 0 Solving -82 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '82' to each side of the equation. -82 + 82 + -1x = 0 + 82 Combine like terms: -82 + 82 = 0 0 + -1x = 0 + 82 -1x = 0 + 82 Combine like terms: 0 + 82 = 82 -1x = 82 Divide each side by '-1'. x = -82 Simplifying x = -82Subproblem 2
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 = 80Solution
x = {-82, 80}
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