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Simplifying (6x + -1)(9x + 6) = 0 Reorder the terms: (-1 + 6x)(9x + 6) = 0 Reorder the terms: (-1 + 6x)(6 + 9x) = 0 Multiply (-1 + 6x) * (6 + 9x) (-1(6 + 9x) + 6x * (6 + 9x)) = 0 ((6 * -1 + 9x * -1) + 6x * (6 + 9x)) = 0 ((-6 + -9x) + 6x * (6 + 9x)) = 0 (-6 + -9x + (6 * 6x + 9x * 6x)) = 0 (-6 + -9x + (36x + 54x2)) = 0 Combine like terms: -9x + 36x = 27x (-6 + 27x + 54x2) = 0 Solving -6 + 27x + 54x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3'. 3(-2 + 9x + 18x2) = 0 Factor a trinomial. 3((-2 + -3x)(1 + -6x)) = 0 Ignore the factor 3.Subproblem 1
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 = -0.6666666667Subproblem 2
Set the factor '(1 + -6x)' equal to zero and attempt to solve: Simplifying 1 + -6x = 0 Solving 1 + -6x = 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 + -6x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -6x = 0 + -1 -6x = 0 + -1 Combine like terms: 0 + -1 = -1 -6x = -1 Divide each side by '-6'. x = 0.1666666667 Simplifying x = 0.1666666667Solution
x = {-0.6666666667, 0.1666666667}
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