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Simplifying (9x + -6)(9x + 4) = 0 Reorder the terms: (-6 + 9x)(9x + 4) = 0 Reorder the terms: (-6 + 9x)(4 + 9x) = 0 Multiply (-6 + 9x) * (4 + 9x) (-6(4 + 9x) + 9x * (4 + 9x)) = 0 ((4 * -6 + 9x * -6) + 9x * (4 + 9x)) = 0 ((-24 + -54x) + 9x * (4 + 9x)) = 0 (-24 + -54x + (4 * 9x + 9x * 9x)) = 0 (-24 + -54x + (36x + 81x2)) = 0 Combine like terms: -54x + 36x = -18x (-24 + -18x + 81x2) = 0 Solving -24 + -18x + 81x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3'. 3(-8 + -6x + 27x2) = 0 Factor a trinomial. 3((-4 + -9x)(2 + -3x)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-4 + -9x)' equal to zero and attempt to solve: Simplifying -4 + -9x = 0 Solving -4 + -9x = 0 Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -9x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -9x = 0 + 4 -9x = 0 + 4 Combine like terms: 0 + 4 = 4 -9x = 4 Divide each side by '-9'. x = -0.4444444444 Simplifying x = -0.4444444444Subproblem 2
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 = 0.6666666667Solution
x = {-0.4444444444, 0.6666666667}
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