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Simplifying (x + -9) * x = 736 Reorder the terms: (-9 + x) * x = 736 Reorder the terms for easier multiplication: x(-9 + x) = 736 (-9 * x + x * x) = 736 (-9x + x2) = 736 Solving -9x + x2 = 736 Solving for variable 'x'. Reorder the terms: -736 + -9x + x2 = 736 + -736 Combine like terms: 736 + -736 = 0 -736 + -9x + x2 = 0 Factor a trinomial. (-23 + -1x)(32 + -1x) = 0Subproblem 1
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 = -23Subproblem 2
Set the factor '(32 + -1x)' equal to zero and attempt to solve: Simplifying 32 + -1x = 0 Solving 32 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-32' to each side of the equation. 32 + -32 + -1x = 0 + -32 Combine like terms: 32 + -32 = 0 0 + -1x = 0 + -32 -1x = 0 + -32 Combine like terms: 0 + -32 = -32 -1x = -32 Divide each side by '-1'. x = 32 Simplifying x = 32Solution
x = {-23, 32}
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