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Simplifying (5x + -6)(8x + 6) = 0 Reorder the terms: (-6 + 5x)(8x + 6) = 0 Reorder the terms: (-6 + 5x)(6 + 8x) = 0 Multiply (-6 + 5x) * (6 + 8x) (-6(6 + 8x) + 5x * (6 + 8x)) = 0 ((6 * -6 + 8x * -6) + 5x * (6 + 8x)) = 0 ((-36 + -48x) + 5x * (6 + 8x)) = 0 (-36 + -48x + (6 * 5x + 8x * 5x)) = 0 (-36 + -48x + (30x + 40x2)) = 0 Combine like terms: -48x + 30x = -18x (-36 + -18x + 40x2) = 0 Solving -36 + -18x + 40x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(-18 + -9x + 20x2) = 0 Factor a trinomial. 2((-3 + -4x)(6 + -5x)) = 0 Ignore the factor 2.Subproblem 1
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 = -0.75Subproblem 2
Set the factor '(6 + -5x)' equal to zero and attempt to solve: Simplifying 6 + -5x = 0 Solving 6 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -5x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -5x = 0 + -6 -5x = 0 + -6 Combine like terms: 0 + -6 = -6 -5x = -6 Divide each side by '-5'. x = 1.2 Simplifying x = 1.2Solution
x = {-0.75, 1.2}
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