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Simplifying (5x + -6)(2x + 8) = 0 Reorder the terms: (-6 + 5x)(2x + 8) = 0 Reorder the terms: (-6 + 5x)(8 + 2x) = 0 Multiply (-6 + 5x) * (8 + 2x) (-6(8 + 2x) + 5x * (8 + 2x)) = 0 ((8 * -6 + 2x * -6) + 5x * (8 + 2x)) = 0 ((-48 + -12x) + 5x * (8 + 2x)) = 0 (-48 + -12x + (8 * 5x + 2x * 5x)) = 0 (-48 + -12x + (40x + 10x2)) = 0 Combine like terms: -12x + 40x = 28x (-48 + 28x + 10x2) = 0 Solving -48 + 28x + 10x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(-24 + 14x + 5x2) = 0 Factor a trinomial. 2((-4 + -1x)(6 + -5x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-4 + -1x)' equal to zero and attempt to solve: Simplifying -4 + -1x = 0 Solving -4 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -1x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -1x = 0 + 4 -1x = 0 + 4 Combine like terms: 0 + 4 = 4 -1x = 4 Divide each side by '-1'. x = -4 Simplifying x = -4Subproblem 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 = {-4, 1.2}
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