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Simplifying (5x + -4)(4x + 6) = 0 Reorder the terms: (-4 + 5x)(4x + 6) = 0 Reorder the terms: (-4 + 5x)(6 + 4x) = 0 Multiply (-4 + 5x) * (6 + 4x) (-4(6 + 4x) + 5x * (6 + 4x)) = 0 ((6 * -4 + 4x * -4) + 5x * (6 + 4x)) = 0 ((-24 + -16x) + 5x * (6 + 4x)) = 0 (-24 + -16x + (6 * 5x + 4x * 5x)) = 0 (-24 + -16x + (30x + 20x2)) = 0 Combine like terms: -16x + 30x = 14x (-24 + 14x + 20x2) = 0 Solving -24 + 14x + 20x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(-12 + 7x + 10x2) = 0 Factor a trinomial. 2((-3 + -2x)(4 + -5x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-3 + -2x)' equal to zero and attempt to solve: Simplifying -3 + -2x = 0 Solving -3 + -2x = 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 + -2x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -2x = 0 + 3 -2x = 0 + 3 Combine like terms: 0 + 3 = 3 -2x = 3 Divide each side by '-2'. x = -1.5 Simplifying x = -1.5Subproblem 2
Set the factor '(4 + -5x)' equal to zero and attempt to solve: Simplifying 4 + -5x = 0 Solving 4 + -5x = 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 + -5x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -5x = 0 + -4 -5x = 0 + -4 Combine like terms: 0 + -4 = -4 -5x = -4 Divide each side by '-5'. x = 0.8 Simplifying x = 0.8Solution
x = {-1.5, 0.8}
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