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Simplifying (8x + -6)(9x + 2) = 0 Reorder the terms: (-6 + 8x)(9x + 2) = 0 Reorder the terms: (-6 + 8x)(2 + 9x) = 0 Multiply (-6 + 8x) * (2 + 9x) (-6(2 + 9x) + 8x * (2 + 9x)) = 0 ((2 * -6 + 9x * -6) + 8x * (2 + 9x)) = 0 ((-12 + -54x) + 8x * (2 + 9x)) = 0 (-12 + -54x + (2 * 8x + 9x * 8x)) = 0 (-12 + -54x + (16x + 72x2)) = 0 Combine like terms: -54x + 16x = -38x (-12 + -38x + 72x2) = 0 Solving -12 + -38x + 72x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(-6 + -19x + 36x2) = 0 Factor a trinomial. 2((-2 + -9x)(3 + -4x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-2 + -9x)' equal to zero and attempt to solve: Simplifying -2 + -9x = 0 Solving -2 + -9x = 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 + -9x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -9x = 0 + 2 -9x = 0 + 2 Combine like terms: 0 + 2 = 2 -9x = 2 Divide each side by '-9'. x = -0.2222222222 Simplifying x = -0.2222222222Subproblem 2
Set the factor '(3 + -4x)' equal to zero and attempt to solve: Simplifying 3 + -4x = 0 Solving 3 + -4x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -4x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -4x = 0 + -3 -4x = 0 + -3 Combine like terms: 0 + -3 = -3 -4x = -3 Divide each side by '-4'. x = 0.75 Simplifying x = 0.75Solution
x = {-0.2222222222, 0.75}
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