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Simplifying (9x + -6)(8x + 4) = 0 Reorder the terms: (-6 + 9x)(8x + 4) = 0 Reorder the terms: (-6 + 9x)(4 + 8x) = 0 Multiply (-6 + 9x) * (4 + 8x) (-6(4 + 8x) + 9x * (4 + 8x)) = 0 ((4 * -6 + 8x * -6) + 9x * (4 + 8x)) = 0 ((-24 + -48x) + 9x * (4 + 8x)) = 0 (-24 + -48x + (4 * 9x + 8x * 9x)) = 0 (-24 + -48x + (36x + 72x2)) = 0 Combine like terms: -48x + 36x = -12x (-24 + -12x + 72x2) = 0 Solving -24 + -12x + 72x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '12'. 12(-2 + -1x + 6x2) = 0 Factor a trinomial. 12((-1 + -2x)(2 + -3x)) = 0 Ignore the factor 12.Subproblem 1
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 = -0.5Subproblem 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 = {-0.5, 0.6666666667}
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