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Simplifying X2 + 14X = 576 Reorder the terms: 14X + X2 = 576 Solving 14X + X2 = 576 Solving for variable 'X'. Reorder the terms: -576 + 14X + X2 = 576 + -576 Combine like terms: 576 + -576 = 0 -576 + 14X + X2 = 0 Factor a trinomial. (-32 + -1X)(18 + -1X) = 0Subproblem 1
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 = -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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