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Simplifying (4x + -5)(2x + 6) = 0 Reorder the terms: (-5 + 4x)(2x + 6) = 0 Reorder the terms: (-5 + 4x)(6 + 2x) = 0 Multiply (-5 + 4x) * (6 + 2x) (-5(6 + 2x) + 4x * (6 + 2x)) = 0 ((6 * -5 + 2x * -5) + 4x * (6 + 2x)) = 0 ((-30 + -10x) + 4x * (6 + 2x)) = 0 (-30 + -10x + (6 * 4x + 2x * 4x)) = 0 (-30 + -10x + (24x + 8x2)) = 0 Combine like terms: -10x + 24x = 14x (-30 + 14x + 8x2) = 0 Solving -30 + 14x + 8x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(-15 + 7x + 4x2) = 0 Factor a trinomial. 2((-3 + -1x)(5 + -4x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-3 + -1x)' equal to zero and attempt to solve: Simplifying -3 + -1x = 0 Solving -3 + -1x = 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 + -1x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -1x = 0 + 3 -1x = 0 + 3 Combine like terms: 0 + 3 = 3 -1x = 3 Divide each side by '-1'. x = -3 Simplifying x = -3Subproblem 2
Set the factor '(5 + -4x)' equal to zero and attempt to solve: Simplifying 5 + -4x = 0 Solving 5 + -4x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -4x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -4x = 0 + -5 -4x = 0 + -5 Combine like terms: 0 + -5 = -5 -4x = -5 Divide each side by '-4'. x = 1.25 Simplifying x = 1.25Solution
x = {-3, 1.25}
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