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Simplifying (x + 9)(2x + -3) = 0 Reorder the terms: (9 + x)(2x + -3) = 0 Reorder the terms: (9 + x)(-3 + 2x) = 0 Multiply (9 + x) * (-3 + 2x) (9(-3 + 2x) + x(-3 + 2x)) = 0 ((-3 * 9 + 2x * 9) + x(-3 + 2x)) = 0 ((-27 + 18x) + x(-3 + 2x)) = 0 (-27 + 18x + (-3 * x + 2x * x)) = 0 (-27 + 18x + (-3x + 2x2)) = 0 Combine like terms: 18x + -3x = 15x (-27 + 15x + 2x2) = 0 Solving -27 + 15x + 2x2 = 0 Solving for variable 'x'. Factor a trinomial. (-9 + -1x)(3 + -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 '(3 + -2x)' equal to zero and attempt to solve: Simplifying 3 + -2x = 0 Solving 3 + -2x = 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 + -2x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2x = 0 + -3 -2x = 0 + -3 Combine like terms: 0 + -3 = -3 -2x = -3 Divide each side by '-2'. x = 1.5 Simplifying x = 1.5Solution
x = {-9, 1.5}
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