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Simplifying (8x + -6)(5x + 6) = 0 Reorder the terms: (-6 + 8x)(5x + 6) = 0 Reorder the terms: (-6 + 8x)(6 + 5x) = 0 Multiply (-6 + 8x) * (6 + 5x) (-6(6 + 5x) + 8x * (6 + 5x)) = 0 ((6 * -6 + 5x * -6) + 8x * (6 + 5x)) = 0 ((-36 + -30x) + 8x * (6 + 5x)) = 0 (-36 + -30x + (6 * 8x + 5x * 8x)) = 0 (-36 + -30x + (48x + 40x2)) = 0 Combine like terms: -30x + 48x = 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((-6 + -5x)(3 + -4x)) = 0 Ignore the factor 2.Subproblem 1
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 = -1.2Subproblem 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 = {-1.2, 0.75}
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