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Simplifying (5x + -5)(4x + 3) = 0 Reorder the terms: (-5 + 5x)(4x + 3) = 0 Reorder the terms: (-5 + 5x)(3 + 4x) = 0 Multiply (-5 + 5x) * (3 + 4x) (-5(3 + 4x) + 5x * (3 + 4x)) = 0 ((3 * -5 + 4x * -5) + 5x * (3 + 4x)) = 0 ((-15 + -20x) + 5x * (3 + 4x)) = 0 (-15 + -20x + (3 * 5x + 4x * 5x)) = 0 (-15 + -20x + (15x + 20x2)) = 0 Combine like terms: -20x + 15x = -5x (-15 + -5x + 20x2) = 0 Solving -15 + -5x + 20x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '5'. 5(-3 + -1x + 4x2) = 0 Factor a trinomial. 5((-3 + -4x)(1 + -1x)) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(-3 + -4x)' equal to zero and attempt to solve: Simplifying -3 + -4x = 0 Solving -3 + -4x = 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 + -4x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -4x = 0 + 3 -4x = 0 + 3 Combine like terms: 0 + 3 = 3 -4x = 3 Divide each side by '-4'. x = -0.75 Simplifying x = -0.75Subproblem 2
Set the factor '(1 + -1x)' equal to zero and attempt to solve: Simplifying 1 + -1x = 0 Solving 1 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = 0 + -1 -1x = 0 + -1 Combine like terms: 0 + -1 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1Solution
x = {-0.75, 1}
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