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Simplifying 20x3 = 20x2 + -5x Reorder the terms: 20x3 = -5x + 20x2 Solving 20x3 = -5x + 20x2 Solving for variable 'x'. Reorder the terms: 5x + -20x2 + 20x3 = -5x + 20x2 + 5x + -20x2 Reorder the terms: 5x + -20x2 + 20x3 = -5x + 5x + 20x2 + -20x2 Combine like terms: -5x + 5x = 0 5x + -20x2 + 20x3 = 0 + 20x2 + -20x2 5x + -20x2 + 20x3 = 20x2 + -20x2 Combine like terms: 20x2 + -20x2 = 0 5x + -20x2 + 20x3 = 0 Factor out the Greatest Common Factor (GCF), '5x'. 5x(1 + -4x + 4x2) = 0 Factor a trinomial. 5x((1 + -2x)(1 + -2x)) = 0 Ignore the factor 5.Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
Set the factor '(1 + -2x)' equal to zero and attempt to solve: Simplifying 1 + -2x = 0 Solving 1 + -2x = 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 + -2x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2x = 0 + -1 -2x = 0 + -1 Combine like terms: 0 + -1 = -1 -2x = -1 Divide each side by '-2'. x = 0.5 Simplifying x = 0.5Subproblem 3
Set the factor '(1 + -2x)' equal to zero and attempt to solve: Simplifying 1 + -2x = 0 Solving 1 + -2x = 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 + -2x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2x = 0 + -1 -2x = 0 + -1 Combine like terms: 0 + -1 = -1 -2x = -1 Divide each side by '-2'. x = 0.5 Simplifying x = 0.5Solution
x = {0, 0.5, 0.5}
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