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Simplifying (6x + -4)(9x + 8) = 0 Reorder the terms: (-4 + 6x)(9x + 8) = 0 Reorder the terms: (-4 + 6x)(8 + 9x) = 0 Multiply (-4 + 6x) * (8 + 9x) (-4(8 + 9x) + 6x * (8 + 9x)) = 0 ((8 * -4 + 9x * -4) + 6x * (8 + 9x)) = 0 ((-32 + -36x) + 6x * (8 + 9x)) = 0 (-32 + -36x + (8 * 6x + 9x * 6x)) = 0 (-32 + -36x + (48x + 54x2)) = 0 Combine like terms: -36x + 48x = 12x (-32 + 12x + 54x2) = 0 Solving -32 + 12x + 54x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(-16 + 6x + 27x2) = 0 Factor a trinomial. 2((-8 + -9x)(2 + -3x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-8 + -9x)' equal to zero and attempt to solve: Simplifying -8 + -9x = 0 Solving -8 + -9x = 0 Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -9x = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -9x = 0 + 8 -9x = 0 + 8 Combine like terms: 0 + 8 = 8 -9x = 8 Divide each side by '-9'. x = -0.8888888889 Simplifying x = -0.8888888889Subproblem 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 = {-0.8888888889, 0.6666666667}
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