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Simplifying 5X(4 + -1X) = 20 (4 * 5X + -1X * 5X) = 20 (20X + -5X2) = 20 Solving 20X + -5X2 = 20 Solving for variable 'X'. Reorder the terms: -20 + 20X + -5X2 = 20 + -20 Combine like terms: 20 + -20 = 0 -20 + 20X + -5X2 = 0 Factor out the Greatest Common Factor (GCF), '5'. 5(-4 + 4X + -1X2) = 0 Factor a trinomial. 5((-2 + X)(2 + -1X)) = 0 Ignore the factor 5.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 + -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 = {2, 2}
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