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Simplifying (5x + -4)(4x + -8) = 0 Reorder the terms: (-4 + 5x)(4x + -8) = 0 Reorder the terms: (-4 + 5x)(-8 + 4x) = 0 Multiply (-4 + 5x) * (-8 + 4x) (-4(-8 + 4x) + 5x * (-8 + 4x)) = 0 ((-8 * -4 + 4x * -4) + 5x * (-8 + 4x)) = 0 ((32 + -16x) + 5x * (-8 + 4x)) = 0 (32 + -16x + (-8 * 5x + 4x * 5x)) = 0 (32 + -16x + (-40x + 20x2)) = 0 Combine like terms: -16x + -40x = -56x (32 + -56x + 20x2) = 0 Solving 32 + -56x + 20x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '4'. 4(8 + -14x + 5x2) = 0 Factor a trinomial. 4((4 + -5x)(2 + -1x)) = 0 Ignore the factor 4.Subproblem 1
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 = 0.8Subproblem 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 = {0.8, 2}
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