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Simplifying 60x2 + -20x = 48x2 + 28x Reorder the terms: -20x + 60x2 = 48x2 + 28x Reorder the terms: -20x + 60x2 = 28x + 48x2 Solving -20x + 60x2 = 28x + 48x2 Solving for variable 'x'. Reorder the terms: -20x + -28x + 60x2 + -48x2 = 28x + 48x2 + -28x + -48x2 Combine like terms: -20x + -28x = -48x -48x + 60x2 + -48x2 = 28x + 48x2 + -28x + -48x2 Combine like terms: 60x2 + -48x2 = 12x2 -48x + 12x2 = 28x + 48x2 + -28x + -48x2 Reorder the terms: -48x + 12x2 = 28x + -28x + 48x2 + -48x2 Combine like terms: 28x + -28x = 0 -48x + 12x2 = 0 + 48x2 + -48x2 -48x + 12x2 = 48x2 + -48x2 Combine like terms: 48x2 + -48x2 = 0 -48x + 12x2 = 0 Factor out the Greatest Common Factor (GCF), '12x'. 12x(-4 + x) = 0 Ignore the factor 12.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 '(-4 + x)' equal to zero and attempt to solve: Simplifying -4 + x = 0 Solving -4 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + x = 0 + 4 x = 0 + 4 Combine like terms: 0 + 4 = 4 x = 4 Simplifying x = 4Solution
x = {0, 4}
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