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Simplifying (x + 8)(5x + -9) = 0 Reorder the terms: (8 + x)(5x + -9) = 0 Reorder the terms: (8 + x)(-9 + 5x) = 0 Multiply (8 + x) * (-9 + 5x) (8(-9 + 5x) + x(-9 + 5x)) = 0 ((-9 * 8 + 5x * 8) + x(-9 + 5x)) = 0 ((-72 + 40x) + x(-9 + 5x)) = 0 (-72 + 40x + (-9 * x + 5x * x)) = 0 (-72 + 40x + (-9x + 5x2)) = 0 Combine like terms: 40x + -9x = 31x (-72 + 31x + 5x2) = 0 Solving -72 + 31x + 5x2 = 0 Solving for variable 'x'. Factor a trinomial. (-8 + -1x)(9 + -5x) = 0Subproblem 1
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 = -8Subproblem 2
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 = 1.8Solution
x = {-8, 1.8}
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