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Simplifying (2x + -6)(9x + 3) = 0 Reorder the terms: (-6 + 2x)(9x + 3) = 0 Reorder the terms: (-6 + 2x)(3 + 9x) = 0 Multiply (-6 + 2x) * (3 + 9x) (-6(3 + 9x) + 2x * (3 + 9x)) = 0 ((3 * -6 + 9x * -6) + 2x * (3 + 9x)) = 0 ((-18 + -54x) + 2x * (3 + 9x)) = 0 (-18 + -54x + (3 * 2x + 9x * 2x)) = 0 (-18 + -54x + (6x + 18x2)) = 0 Combine like terms: -54x + 6x = -48x (-18 + -48x + 18x2) = 0 Solving -18 + -48x + 18x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '6'. 6(-3 + -8x + 3x2) = 0 Factor a trinomial. 6((-1 + -3x)(3 + -1x)) = 0 Ignore the factor 6.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 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 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 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3Solution
x = {-0.3333333333, 3}
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