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Simplifying x(2x + -3) = 135 Reorder the terms: x(-3 + 2x) = 135 (-3 * x + 2x * x) = 135 (-3x + 2x2) = 135 Solving -3x + 2x2 = 135 Solving for variable 'x'. Reorder the terms: -135 + -3x + 2x2 = 135 + -135 Combine like terms: 135 + -135 = 0 -135 + -3x + 2x2 = 0 Factor a trinomial. (-15 + -2x)(9 + -1x) = 0Subproblem 1
Set the factor '(-15 + -2x)' equal to zero and attempt to solve: Simplifying -15 + -2x = 0 Solving -15 + -2x = 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 + -2x = 0 + 15 Combine like terms: -15 + 15 = 0 0 + -2x = 0 + 15 -2x = 0 + 15 Combine like terms: 0 + 15 = 15 -2x = 15 Divide each side by '-2'. x = -7.5 Simplifying x = -7.5Subproblem 2
Set the factor '(9 + -1x)' equal to zero and attempt to solve: Simplifying 9 + -1x = 0 Solving 9 + -1x = 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 + -1x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1x = 0 + -9 -1x = 0 + -9 Combine like terms: 0 + -9 = -9 -1x = -9 Divide each side by '-1'. x = 9 Simplifying x = 9Solution
x = {-7.5, 9}
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