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Simplifying x(x + 8) = 713 Reorder the terms: x(8 + x) = 713 (8 * x + x * x) = 713 (8x + x2) = 713 Solving 8x + x2 = 713 Solving for variable 'x'. Reorder the terms: -713 + 8x + x2 = 713 + -713 Combine like terms: 713 + -713 = 0 -713 + 8x + x2 = 0 Factor a trinomial. (-31 + -1x)(23 + -1x) = 0Subproblem 1
Set the factor '(-31 + -1x)' equal to zero and attempt to solve: Simplifying -31 + -1x = 0 Solving -31 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '31' to each side of the equation. -31 + 31 + -1x = 0 + 31 Combine like terms: -31 + 31 = 0 0 + -1x = 0 + 31 -1x = 0 + 31 Combine like terms: 0 + 31 = 31 -1x = 31 Divide each side by '-1'. x = -31 Simplifying x = -31Subproblem 2
Set the factor '(23 + -1x)' equal to zero and attempt to solve: Simplifying 23 + -1x = 0 Solving 23 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-23' to each side of the equation. 23 + -23 + -1x = 0 + -23 Combine like terms: 23 + -23 = 0 0 + -1x = 0 + -23 -1x = 0 + -23 Combine like terms: 0 + -23 = -23 -1x = -23 Divide each side by '-1'. x = 23 Simplifying x = 23Solution
x = {-31, 23}
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