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Simplifying 2x2 + -20x = 24x Reorder the terms: -20x + 2x2 = 24x Solving -20x + 2x2 = 24x Solving for variable 'x'. Reorder the terms: -20x + -24x + 2x2 = 24x + -24x Combine like terms: -20x + -24x = -44x -44x + 2x2 = 24x + -24x Combine like terms: 24x + -24x = 0 -44x + 2x2 = 0 Factor out the Greatest Common Factor (GCF), '2x'. 2x(-22 + x) = 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 '(-22 + x)' equal to zero and attempt to solve: Simplifying -22 + x = 0 Solving -22 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '22' to each side of the equation. -22 + 22 + x = 0 + 22 Combine like terms: -22 + 22 = 0 0 + x = 0 + 22 x = 0 + 22 Combine like terms: 0 + 22 = 22 x = 22 Simplifying x = 22Solution
x = {0, 22}
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