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Simplifying (x + -6)(5x + -9) = 0 Reorder the terms: (-6 + x)(5x + -9) = 0 Reorder the terms: (-6 + x)(-9 + 5x) = 0 Multiply (-6 + x) * (-9 + 5x) (-6(-9 + 5x) + x(-9 + 5x)) = 0 ((-9 * -6 + 5x * -6) + x(-9 + 5x)) = 0 ((54 + -30x) + x(-9 + 5x)) = 0 (54 + -30x + (-9 * x + 5x * x)) = 0 (54 + -30x + (-9x + 5x2)) = 0 Combine like terms: -30x + -9x = -39x (54 + -39x + 5x2) = 0 Solving 54 + -39x + 5x2 = 0 Solving for variable 'x'. Factor a trinomial. (9 + -5x)(6 + -1x) = 0Subproblem 1
Set the factor '(9 + -5x)' equal to zero and attempt to solve: Simplifying 9 + -5x = 0 Solving 9 + -5x = 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 + -5x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -5x = 0 + -9 -5x = 0 + -9 Combine like terms: 0 + -9 = -9 -5x = -9 Divide each side by '-5'. x = 1.8 Simplifying x = 1.8Subproblem 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 = {1.8, 6}
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