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Simplifying (40 + 20x)(1 + -1x) = 0 Multiply (40 + 20x) * (1 + -1x) (40(1 + -1x) + 20x * (1 + -1x)) = 0 ((1 * 40 + -1x * 40) + 20x * (1 + -1x)) = 0 ((40 + -40x) + 20x * (1 + -1x)) = 0 (40 + -40x + (1 * 20x + -1x * 20x)) = 0 (40 + -40x + (20x + -20x2)) = 0 Combine like terms: -40x + 20x = -20x (40 + -20x + -20x2) = 0 Solving 40 + -20x + -20x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '20'. 20(2 + -1x + -1x2) = 0 Factor a trinomial. 20((1 + -1x)(2 + x)) = 0 Ignore the factor 20.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 '(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 = -2Solution
x = {1, -2}
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