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Simplifying (2x + -4)(x + 20) = 0 Reorder the terms: (-4 + 2x)(x + 20) = 0 Reorder the terms: (-4 + 2x)(20 + x) = 0 Multiply (-4 + 2x) * (20 + x) (-4(20 + x) + 2x * (20 + x)) = 0 ((20 * -4 + x * -4) + 2x * (20 + x)) = 0 ((-80 + -4x) + 2x * (20 + x)) = 0 (-80 + -4x + (20 * 2x + x * 2x)) = 0 (-80 + -4x + (40x + 2x2)) = 0 Combine like terms: -4x + 40x = 36x (-80 + 36x + 2x2) = 0 Solving -80 + 36x + 2x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(-40 + 18x + x2) = 0 Factor a trinomial. 2((-20 + -1x)(2 + -1x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-20 + -1x)' equal to zero and attempt to solve: Simplifying -20 + -1x = 0 Solving -20 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + -1x = 0 + 20 Combine like terms: -20 + 20 = 0 0 + -1x = 0 + 20 -1x = 0 + 20 Combine like terms: 0 + 20 = 20 -1x = 20 Divide each side by '-1'. x = -20 Simplifying x = -20Subproblem 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 = {-20, 2}
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