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Simplifying 0 = 5x2 + -20x + 20 Reorder the terms: 0 = 20 + -20x + 5x2 Solving 0 = 20 + -20x + 5x2 Solving for variable 'x'. Combine like terms: 0 + -20 = -20 -20 + 20x + -5x2 = 20 + -20x + 5x2 + -20 + 20x + -5x2 Reorder the terms: -20 + 20x + -5x2 = 20 + -20 + -20x + 20x + 5x2 + -5x2 Combine like terms: 20 + -20 = 0 -20 + 20x + -5x2 = 0 + -20x + 20x + 5x2 + -5x2 -20 + 20x + -5x2 = -20x + 20x + 5x2 + -5x2 Combine like terms: -20x + 20x = 0 -20 + 20x + -5x2 = 0 + 5x2 + -5x2 -20 + 20x + -5x2 = 5x2 + -5x2 Combine like terms: 5x2 + -5x2 = 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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