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Simplifying c = x2 + 18x + c Reorder the terms: c = c + 18x + x2 Add '-1c' to each side of the equation. c + -1c = c + 18x + -1c + x2 Combine like terms: c + -1c = 0 0 = c + 18x + -1c + x2 Reorder the terms: 0 = c + -1c + 18x + x2 Combine like terms: c + -1c = 0 0 = 0 + 18x + x2 0 = 18x + x2 Solving 0 = 18x + x2 Solving for variable 'x'. Remove the zero: -18x + -1x2 = 18x + x2 + -18x + -1x2 Reorder the terms: -18x + -1x2 = 18x + -18x + x2 + -1x2 Combine like terms: 18x + -18x = 0 -18x + -1x2 = 0 + x2 + -1x2 -18x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -18x + -1x2 = 0 Factor out the Greatest Common Factor (GCF), '-1x'. -1x(18 + 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 '(18 + x)' equal to zero and attempt to solve: Simplifying 18 + x = 0 Solving 18 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + x = 0 + -18 Combine like terms: 18 + -18 = 0 0 + x = 0 + -18 x = 0 + -18 Combine like terms: 0 + -18 = -18 x = -18 Simplifying x = -18Solution
x = {0, -18}
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