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Simplifying x(5x + -9) = 18 Reorder the terms: x(-9 + 5x) = 18 (-9 * x + 5x * x) = 18 (-9x + 5x2) = 18 Solving -9x + 5x2 = 18 Solving for variable 'x'. Reorder the terms: -18 + -9x + 5x2 = 18 + -18 Combine like terms: 18 + -18 = 0 -18 + -9x + 5x2 = 0 Factor a trinomial. (-6 + -5x)(3 + -1x) = 0Subproblem 1
Set the factor '(-6 + -5x)' equal to zero and attempt to solve: Simplifying -6 + -5x = 0 Solving -6 + -5x = 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 + -5x = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -5x = 0 + 6 -5x = 0 + 6 Combine like terms: 0 + 6 = 6 -5x = 6 Divide each side by '-5'. x = -1.2 Simplifying x = -1.2Subproblem 2
Set the factor '(3 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3Solution
x = {-1.2, 3}
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