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Simplifying x2 + -24x = 2x Reorder the terms: -24x + x2 = 2x Solving -24x + x2 = 2x Solving for variable 'x'. Reorder the terms: -24x + -2x + x2 = 2x + -2x Combine like terms: -24x + -2x = -26x -26x + x2 = 2x + -2x Combine like terms: 2x + -2x = 0 -26x + x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-26 + x) = 0Subproblem 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 '(-26 + x)' equal to zero and attempt to solve: Simplifying -26 + x = 0 Solving -26 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '26' to each side of the equation. -26 + 26 + x = 0 + 26 Combine like terms: -26 + 26 = 0 0 + x = 0 + 26 x = 0 + 26 Combine like terms: 0 + 26 = 26 x = 26 Simplifying x = 26Solution
x = {0, 26}
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