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Simplifying x2 + -17x = 6x Reorder the terms: -17x + x2 = 6x Solving -17x + x2 = 6x Solving for variable 'x'. Reorder the terms: -17x + -6x + x2 = 6x + -6x Combine like terms: -17x + -6x = -23x -23x + x2 = 6x + -6x Combine like terms: 6x + -6x = 0 -23x + x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-23 + 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 '(-23 + x)' equal to zero and attempt to solve: Simplifying -23 + x = 0 Solving -23 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '23' to each side of the equation. -23 + 23 + x = 0 + 23 Combine like terms: -23 + 23 = 0 0 + x = 0 + 23 x = 0 + 23 Combine like terms: 0 + 23 = 23 x = 23 Simplifying x = 23Solution
x = {0, 23}
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