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Simplifying (x + 9)(2x + -5) = 0 Reorder the terms: (9 + x)(2x + -5) = 0 Reorder the terms: (9 + x)(-5 + 2x) = 0 Multiply (9 + x) * (-5 + 2x) (9(-5 + 2x) + x(-5 + 2x)) = 0 ((-5 * 9 + 2x * 9) + x(-5 + 2x)) = 0 ((-45 + 18x) + x(-5 + 2x)) = 0 (-45 + 18x + (-5 * x + 2x * x)) = 0 (-45 + 18x + (-5x + 2x2)) = 0 Combine like terms: 18x + -5x = 13x (-45 + 13x + 2x2) = 0 Solving -45 + 13x + 2x2 = 0 Solving for variable 'x'. Factor a trinomial. (-9 + -1x)(5 + -2x) = 0Subproblem 1
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 = -9Subproblem 2
Set the factor '(5 + -2x)' equal to zero and attempt to solve: Simplifying 5 + -2x = 0 Solving 5 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -2x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -2x = 0 + -5 -2x = 0 + -5 Combine like terms: 0 + -5 = -5 -2x = -5 Divide each side by '-2'. x = 2.5 Simplifying x = 2.5Solution
x = {-9, 2.5}
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