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Simplifying (9x + -1)(3x + 6) = 0 Reorder the terms: (-1 + 9x)(3x + 6) = 0 Reorder the terms: (-1 + 9x)(6 + 3x) = 0 Multiply (-1 + 9x) * (6 + 3x) (-1(6 + 3x) + 9x * (6 + 3x)) = 0 ((6 * -1 + 3x * -1) + 9x * (6 + 3x)) = 0 ((-6 + -3x) + 9x * (6 + 3x)) = 0 (-6 + -3x + (6 * 9x + 3x * 9x)) = 0 (-6 + -3x + (54x + 27x2)) = 0 Combine like terms: -3x + 54x = 51x (-6 + 51x + 27x2) = 0 Solving -6 + 51x + 27x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3'. 3(-2 + 17x + 9x2) = 0 Factor a trinomial. 3((-2 + -1x)(1 + -9x)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-2 + -1x)' equal to zero and attempt to solve: Simplifying -2 + -1x = 0 Solving -2 + -1x = 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 + -1x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1x = 0 + 2 -1x = 0 + 2 Combine like terms: 0 + 2 = 2 -1x = 2 Divide each side by '-1'. x = -2 Simplifying x = -2Subproblem 2
Set the factor '(1 + -9x)' equal to zero and attempt to solve: Simplifying 1 + -9x = 0 Solving 1 + -9x = 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 + -9x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -9x = 0 + -1 -9x = 0 + -1 Combine like terms: 0 + -1 = -1 -9x = -1 Divide each side by '-9'. x = 0.1111111111 Simplifying x = 0.1111111111Solution
x = {-2, 0.1111111111}
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