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Simplifying 24x2 + -10x = 20x2 + 40x Reorder the terms: -10x + 24x2 = 20x2 + 40x Reorder the terms: -10x + 24x2 = 40x + 20x2 Solving -10x + 24x2 = 40x + 20x2 Solving for variable 'x'. Reorder the terms: -10x + -40x + 24x2 + -20x2 = 40x + 20x2 + -40x + -20x2 Combine like terms: -10x + -40x = -50x -50x + 24x2 + -20x2 = 40x + 20x2 + -40x + -20x2 Combine like terms: 24x2 + -20x2 = 4x2 -50x + 4x2 = 40x + 20x2 + -40x + -20x2 Reorder the terms: -50x + 4x2 = 40x + -40x + 20x2 + -20x2 Combine like terms: 40x + -40x = 0 -50x + 4x2 = 0 + 20x2 + -20x2 -50x + 4x2 = 20x2 + -20x2 Combine like terms: 20x2 + -20x2 = 0 -50x + 4x2 = 0 Factor out the Greatest Common Factor (GCF), '2x'. 2x(-25 + 2x) = 0 Ignore the factor 2.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 '(-25 + 2x)' equal to zero and attempt to solve: Simplifying -25 + 2x = 0 Solving -25 + 2x = 0 Move all terms containing x to the left, all other terms to the right. Add '25' to each side of the equation. -25 + 25 + 2x = 0 + 25 Combine like terms: -25 + 25 = 0 0 + 2x = 0 + 25 2x = 0 + 25 Combine like terms: 0 + 25 = 25 2x = 25 Divide each side by '2'. x = 12.5 Simplifying x = 12.5Solution
x = {0, 12.5}
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