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Simplifying x2 + -14x = 17x Reorder the terms: -14x + x2 = 17x Solving -14x + x2 = 17x Solving for variable 'x'. Reorder the terms: -14x + -17x + x2 = 17x + -17x Combine like terms: -14x + -17x = -31x -31x + x2 = 17x + -17x Combine like terms: 17x + -17x = 0 -31x + x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-31 + 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 '(-31 + x)' equal to zero and attempt to solve: Simplifying -31 + x = 0 Solving -31 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '31' to each side of the equation. -31 + 31 + x = 0 + 31 Combine like terms: -31 + 31 = 0 0 + x = 0 + 31 x = 0 + 31 Combine like terms: 0 + 31 = 31 x = 31 Simplifying x = 31Solution
x = {0, 31}
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