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Simplifying x2 + -48x = -2x Reorder the terms: -48x + x2 = -2x Solving -48x + x2 = -2x Solving for variable 'x'. Reorder the terms: -48x + 2x + x2 = -2x + 2x Combine like terms: -48x + 2x = -46x -46x + x2 = -2x + 2x Combine like terms: -2x + 2x = 0 -46x + x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-46 + 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 '(-46 + x)' equal to zero and attempt to solve: Simplifying -46 + x = 0 Solving -46 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '46' to each side of the equation. -46 + 46 + x = 0 + 46 Combine like terms: -46 + 46 = 0 0 + x = 0 + 46 x = 0 + 46 Combine like terms: 0 + 46 = 46 x = 46 Simplifying x = 46Solution
x = {0, 46}
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