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Simplifying (2x + -5)(4x + -4) = 0 Reorder the terms: (-5 + 2x)(4x + -4) = 0 Reorder the terms: (-5 + 2x)(-4 + 4x) = 0 Multiply (-5 + 2x) * (-4 + 4x) (-5(-4 + 4x) + 2x * (-4 + 4x)) = 0 ((-4 * -5 + 4x * -5) + 2x * (-4 + 4x)) = 0 ((20 + -20x) + 2x * (-4 + 4x)) = 0 (20 + -20x + (-4 * 2x + 4x * 2x)) = 0 (20 + -20x + (-8x + 8x2)) = 0 Combine like terms: -20x + -8x = -28x (20 + -28x + 8x2) = 0 Solving 20 + -28x + 8x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '4'. 4(5 + -7x + 2x2) = 0 Factor a trinomial. 4((1 + -1x)(5 + -2x)) = 0 Ignore the factor 4.Subproblem 1
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 = 1Subproblem 2
Set the factor '(5 + -2x)' equal to zero and attempt to solve: Simplifying 5 + -2x = 0 Solving 5 + -2x = 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 + -2x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -2x = 0 + -5 -2x = 0 + -5 Combine like terms: 0 + -5 = -5 -2x = -5 Divide each side by '-2'. x = 2.5 Simplifying x = 2.5Solution
x = {1, 2.5}
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