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Simplifying 0 = 2x2 + -36x Reorder the terms: 0 = -36x + 2x2 Solving 0 = -36x + 2x2 Solving for variable 'x'. Remove the zero: 36x + -2x2 = -36x + 2x2 + 36x + -2x2 Reorder the terms: 36x + -2x2 = -36x + 36x + 2x2 + -2x2 Combine like terms: -36x + 36x = 0 36x + -2x2 = 0 + 2x2 + -2x2 36x + -2x2 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 36x + -2x2 = 0 Factor out the Greatest Common Factor (GCF), '2x'. 2x(18 + -1x) = 0 Ignore the factor 2.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 + -1x)' equal to zero and attempt to solve: Simplifying 18 + -1x = 0 Solving 18 + -1x = 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 + -1x = 0 + -18 Combine like terms: 18 + -18 = 0 0 + -1x = 0 + -18 -1x = 0 + -18 Combine like terms: 0 + -18 = -18 -1x = -18 Divide each side by '-1'. x = 18 Simplifying x = 18Solution
x = {0, 18}
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