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Simplifying (2x + -1)(9x + 3) = 0 Reorder the terms: (-1 + 2x)(9x + 3) = 0 Reorder the terms: (-1 + 2x)(3 + 9x) = 0 Multiply (-1 + 2x) * (3 + 9x) (-1(3 + 9x) + 2x * (3 + 9x)) = 0 ((3 * -1 + 9x * -1) + 2x * (3 + 9x)) = 0 ((-3 + -9x) + 2x * (3 + 9x)) = 0 (-3 + -9x + (3 * 2x + 9x * 2x)) = 0 (-3 + -9x + (6x + 18x2)) = 0 Combine like terms: -9x + 6x = -3x (-3 + -3x + 18x2) = 0 Solving -3 + -3x + 18x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3'. 3(-1 + -1x + 6x2) = 0 Factor a trinomial. 3((-1 + -3x)(1 + -2x)) = 0 Ignore the factor 3.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 '(1 + -2x)' equal to zero and attempt to solve: Simplifying 1 + -2x = 0 Solving 1 + -2x = 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 + -2x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2x = 0 + -1 -2x = 0 + -1 Combine like terms: 0 + -1 = -1 -2x = -1 Divide each side by '-2'. x = 0.5 Simplifying x = 0.5Solution
x = {-0.3333333333, 0.5}
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