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Simplifying (4x + -23)(x) = 72 Reorder the terms: (-23 + 4x)(x) = 72 Reorder the terms for easier multiplication: x(-23 + 4x) = 72 (-23 * x + 4x * x) = 72 (-23x + 4x2) = 72 Solving -23x + 4x2 = 72 Solving for variable 'x'. Reorder the terms: -72 + -23x + 4x2 = 72 + -72 Combine like terms: 72 + -72 = 0 -72 + -23x + 4x2 = 0 Factor a trinomial. (-9 + -4x)(8 + -1x) = 0Subproblem 1
Set the factor '(-9 + -4x)' equal to zero and attempt to solve: Simplifying -9 + -4x = 0 Solving -9 + -4x = 0 Move all terms containing x to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + -4x = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -4x = 0 + 9 -4x = 0 + 9 Combine like terms: 0 + 9 = 9 -4x = 9 Divide each side by '-4'. x = -2.25 Simplifying x = -2.25Subproblem 2
Set the factor '(8 + -1x)' equal to zero and attempt to solve: Simplifying 8 + -1x = 0 Solving 8 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1x = 0 + -8 -1x = 0 + -8 Combine like terms: 0 + -8 = -8 -1x = -8 Divide each side by '-1'. x = 8 Simplifying x = 8Solution
x = {-2.25, 8}
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