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Simplifying (5x + -2)(4x + -4) = 0 Reorder the terms: (-2 + 5x)(4x + -4) = 0 Reorder the terms: (-2 + 5x)(-4 + 4x) = 0 Multiply (-2 + 5x) * (-4 + 4x) (-2(-4 + 4x) + 5x * (-4 + 4x)) = 0 ((-4 * -2 + 4x * -2) + 5x * (-4 + 4x)) = 0 ((8 + -8x) + 5x * (-4 + 4x)) = 0 (8 + -8x + (-4 * 5x + 4x * 5x)) = 0 (8 + -8x + (-20x + 20x2)) = 0 Combine like terms: -8x + -20x = -28x (8 + -28x + 20x2) = 0 Solving 8 + -28x + 20x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '4'. 4(2 + -7x + 5x2) = 0 Factor a trinomial. 4((2 + -5x)(1 + -1x)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(2 + -5x)' equal to zero and attempt to solve: Simplifying 2 + -5x = 0 Solving 2 + -5x = 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 + -5x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -5x = 0 + -2 -5x = 0 + -2 Combine like terms: 0 + -2 = -2 -5x = -2 Divide each side by '-5'. x = 0.4 Simplifying x = 0.4Subproblem 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 = {0.4, 1}
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