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Simplifying (2x + -4)(5x + 6) = 0 Reorder the terms: (-4 + 2x)(5x + 6) = 0 Reorder the terms: (-4 + 2x)(6 + 5x) = 0 Multiply (-4 + 2x) * (6 + 5x) (-4(6 + 5x) + 2x * (6 + 5x)) = 0 ((6 * -4 + 5x * -4) + 2x * (6 + 5x)) = 0 ((-24 + -20x) + 2x * (6 + 5x)) = 0 (-24 + -20x + (6 * 2x + 5x * 2x)) = 0 (-24 + -20x + (12x + 10x2)) = 0 Combine like terms: -20x + 12x = -8x (-24 + -8x + 10x2) = 0 Solving -24 + -8x + 10x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(-12 + -4x + 5x2) = 0 Factor a trinomial. 2((-6 + -5x)(2 + -1x)) = 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 '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 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 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2Solution
x = {-1.2, 2}
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