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Simplifying 0 = x2 + 17x Reorder the terms: 0 = 17x + x2 Solving 0 = 17x + x2 Solving for variable 'x'. Remove the zero: -17x + -1x2 = 17x + x2 + -17x + -1x2 Reorder the terms: -17x + -1x2 = 17x + -17x + x2 + -1x2 Combine like terms: 17x + -17x = 0 -17x + -1x2 = 0 + x2 + -1x2 -17x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -17x + -1x2 = 0 Factor out the Greatest Common Factor (GCF), '-1x'. -1x(17 + x) = 0 Ignore the factor -1.Subproblem 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 '(17 + x)' equal to zero and attempt to solve: Simplifying 17 + x = 0 Solving 17 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + x = 0 + -17 Combine like terms: 17 + -17 = 0 0 + x = 0 + -17 x = 0 + -17 Combine like terms: 0 + -17 = -17 x = -17 Simplifying x = -17Solution
x = {0, -17}
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