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Simplifying 20x2 + 40x = 24x2 + -40x Reorder the terms: 40x + 20x2 = 24x2 + -40x Reorder the terms: 40x + 20x2 = -40x + 24x2 Solving 40x + 20x2 = -40x + 24x2 Solving for variable 'x'. Reorder the terms: 40x + 40x + 20x2 + -24x2 = -40x + 24x2 + 40x + -24x2 Combine like terms: 40x + 40x = 80x 80x + 20x2 + -24x2 = -40x + 24x2 + 40x + -24x2 Combine like terms: 20x2 + -24x2 = -4x2 80x + -4x2 = -40x + 24x2 + 40x + -24x2 Reorder the terms: 80x + -4x2 = -40x + 40x + 24x2 + -24x2 Combine like terms: -40x + 40x = 0 80x + -4x2 = 0 + 24x2 + -24x2 80x + -4x2 = 24x2 + -24x2 Combine like terms: 24x2 + -24x2 = 0 80x + -4x2 = 0 Factor out the Greatest Common Factor (GCF), '4x'. 4x(20 + -1x) = 0 Ignore the factor 4.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 '(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 = 20Solution
x = {0, 20}
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