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Simplifying (5x + -2)(-2x + 4) = 0 Reorder the terms: (-2 + 5x)(-2x + 4) = 0 Reorder the terms: (-2 + 5x)(4 + -2x) = 0 Multiply (-2 + 5x) * (4 + -2x) (-2(4 + -2x) + 5x * (4 + -2x)) = 0 ((4 * -2 + -2x * -2) + 5x * (4 + -2x)) = 0 ((-8 + 4x) + 5x * (4 + -2x)) = 0 (-8 + 4x + (4 * 5x + -2x * 5x)) = 0 (-8 + 4x + (20x + -10x2)) = 0 Combine like terms: 4x + 20x = 24x (-8 + 24x + -10x2) = 0 Solving -8 + 24x + -10x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(-4 + 12x + -5x2) = 0 Factor a trinomial. 2((-2 + x)(2 + -5x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-2 + x)' equal to zero and attempt to solve: Simplifying -2 + x = 0 Solving -2 + x = 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 + x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + x = 0 + 2 x = 0 + 2 Combine like terms: 0 + 2 = 2 x = 2 Simplifying x = 2Subproblem 2
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 = 0.4Solution
x = {2, 0.4}
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