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Simplifying (4x + -9)(x) = 90 Reorder the terms: (-9 + 4x)(x) = 90 Reorder the terms for easier multiplication: x(-9 + 4x) = 90 (-9 * x + 4x * x) = 90 (-9x + 4x2) = 90 Solving -9x + 4x2 = 90 Solving for variable 'x'. Reorder the terms: -90 + -9x + 4x2 = 90 + -90 Combine like terms: 90 + -90 = 0 -90 + -9x + 4x2 = 0 Factor a trinomial. (-15 + -4x)(6 + -1x) = 0Subproblem 1
Set the factor '(-15 + -4x)' equal to zero and attempt to solve: Simplifying -15 + -4x = 0 Solving -15 + -4x = 0 Move all terms containing x to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + -4x = 0 + 15 Combine like terms: -15 + 15 = 0 0 + -4x = 0 + 15 -4x = 0 + 15 Combine like terms: 0 + 15 = 15 -4x = 15 Divide each side by '-4'. x = -3.75 Simplifying x = -3.75Subproblem 2
Set the factor '(6 + -1x)' equal to zero and attempt to solve: Simplifying 6 + -1x = 0 Solving 6 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1x = 0 + -6 -1x = 0 + -6 Combine like terms: 0 + -6 = -6 -1x = -6 Divide each side by '-1'. x = 6 Simplifying x = 6Solution
x = {-3.75, 6}
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