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Simplifying x(50 + -1x) = 576 (50 * x + -1x * x) = 576 (50x + -1x2) = 576 Solving 50x + -1x2 = 576 Solving for variable 'x'. Reorder the terms: -576 + 50x + -1x2 = 576 + -576 Combine like terms: 576 + -576 = 0 -576 + 50x + -1x2 = 0 Factor a trinomial. (-32 + x)(18 + -1x) = 0Subproblem 1
Set the factor '(-32 + x)' equal to zero and attempt to solve: Simplifying -32 + x = 0 Solving -32 + x = 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 + x = 0 + 32 Combine like terms: -32 + 32 = 0 0 + x = 0 + 32 x = 0 + 32 Combine like terms: 0 + 32 = 32 x = 32 Simplifying x = 32Subproblem 2
Set the factor '(18 + -1x)' equal to zero and attempt to solve: Simplifying 18 + -1x = 0 Solving 18 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + -1x = 0 + -18 Combine like terms: 18 + -18 = 0 0 + -1x = 0 + -18 -1x = 0 + -18 Combine like terms: 0 + -18 = -18 -1x = -18 Divide each side by '-1'. x = 18 Simplifying x = 18Solution
x = {32, 18}
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