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Simplifying (6x + -9)(9x + 3) = 0 Reorder the terms: (-9 + 6x)(9x + 3) = 0 Reorder the terms: (-9 + 6x)(3 + 9x) = 0 Multiply (-9 + 6x) * (3 + 9x) (-9(3 + 9x) + 6x * (3 + 9x)) = 0 ((3 * -9 + 9x * -9) + 6x * (3 + 9x)) = 0 ((-27 + -81x) + 6x * (3 + 9x)) = 0 (-27 + -81x + (3 * 6x + 9x * 6x)) = 0 (-27 + -81x + (18x + 54x2)) = 0 Combine like terms: -81x + 18x = -63x (-27 + -63x + 54x2) = 0 Solving -27 + -63x + 54x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '9'. 9(-3 + -7x + 6x2) = 0 Factor a trinomial. 9((-1 + -3x)(3 + -2x)) = 0 Ignore the factor 9.Subproblem 1
Set the factor '(-1 + -3x)' equal to zero and attempt to solve: Simplifying -1 + -3x = 0 Solving -1 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -3x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -3x = 0 + 1 -3x = 0 + 1 Combine like terms: 0 + 1 = 1 -3x = 1 Divide each side by '-3'. x = -0.3333333333 Simplifying x = -0.3333333333Subproblem 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 = {-0.3333333333, 1.5}
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