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Simplifying (3x + 1)(2x + -6) = 0 Reorder the terms: (1 + 3x)(2x + -6) = 0 Reorder the terms: (1 + 3x)(-6 + 2x) = 0 Multiply (1 + 3x) * (-6 + 2x) (1(-6 + 2x) + 3x * (-6 + 2x)) = 0 ((-6 * 1 + 2x * 1) + 3x * (-6 + 2x)) = 0 ((-6 + 2x) + 3x * (-6 + 2x)) = 0 (-6 + 2x + (-6 * 3x + 2x * 3x)) = 0 (-6 + 2x + (-18x + 6x2)) = 0 Combine like terms: 2x + -18x = -16x (-6 + -16x + 6x2) = 0 Solving -6 + -16x + 6x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(-3 + -8x + 3x2) = 0 Factor a trinomial. 2((-1 + -3x)(3 + -1x)) = 0 Ignore the factor 2.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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