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Simplifying (x + 9)(3x + -2) = 0 Reorder the terms: (9 + x)(3x + -2) = 0 Reorder the terms: (9 + x)(-2 + 3x) = 0 Multiply (9 + x) * (-2 + 3x) (9(-2 + 3x) + x(-2 + 3x)) = 0 ((-2 * 9 + 3x * 9) + x(-2 + 3x)) = 0 ((-18 + 27x) + x(-2 + 3x)) = 0 (-18 + 27x + (-2 * x + 3x * x)) = 0 (-18 + 27x + (-2x + 3x2)) = 0 Combine like terms: 27x + -2x = 25x (-18 + 25x + 3x2) = 0 Solving -18 + 25x + 3x2 = 0 Solving for variable 'x'. Factor a trinomial. (-9 + -1x)(2 + -3x) = 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 '(2 + -3x)' equal to zero and attempt to solve: Simplifying 2 + -3x = 0 Solving 2 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -3x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -3x = 0 + -2 -3x = 0 + -2 Combine like terms: 0 + -2 = -2 -3x = -2 Divide each side by '-3'. x = 0.6666666667 Simplifying x = 0.6666666667Solution
x = {-9, 0.6666666667}
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