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Simplifying 6x = x2 + -17x Reorder the terms: 6x = -17x + x2 Solving 6x = -17x + x2 Solving for variable 'x'. Combine like terms: 6x + 17x = 23x 23x + -1x2 = -17x + x2 + 17x + -1x2 Reorder the terms: 23x + -1x2 = -17x + 17x + x2 + -1x2 Combine like terms: -17x + 17x = 0 23x + -1x2 = 0 + x2 + -1x2 23x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 23x + -1x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(23 + -1x) = 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 + -1x)' equal to zero and attempt to solve: Simplifying 23 + -1x = 0 Solving 23 + -1x = 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 + -1x = 0 + -23 Combine like terms: 23 + -23 = 0 0 + -1x = 0 + -23 -1x = 0 + -23 Combine like terms: 0 + -23 = -23 -1x = -23 Divide each side by '-1'. x = 23 Simplifying x = 23Solution
x = {0, 23}
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