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Simplifying (8x + -5)(4x + 6) = 0 Reorder the terms: (-5 + 8x)(4x + 6) = 0 Reorder the terms: (-5 + 8x)(6 + 4x) = 0 Multiply (-5 + 8x) * (6 + 4x) (-5(6 + 4x) + 8x * (6 + 4x)) = 0 ((6 * -5 + 4x * -5) + 8x * (6 + 4x)) = 0 ((-30 + -20x) + 8x * (6 + 4x)) = 0 (-30 + -20x + (6 * 8x + 4x * 8x)) = 0 (-30 + -20x + (48x + 32x2)) = 0 Combine like terms: -20x + 48x = 28x (-30 + 28x + 32x2) = 0 Solving -30 + 28x + 32x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(-15 + 14x + 16x2) = 0 Factor a trinomial. 2((-3 + -2x)(5 + -8x)) = 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 '(5 + -8x)' equal to zero and attempt to solve: Simplifying 5 + -8x = 0 Solving 5 + -8x = 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 + -8x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -8x = 0 + -5 -8x = 0 + -5 Combine like terms: 0 + -5 = -5 -8x = -5 Divide each side by '-8'. x = 0.625 Simplifying x = 0.625Solution
x = {-1.5, 0.625}
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