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Simplifying 0 = 216x + -6x2 Solving 0 = 216x + -6x2 Solving for variable 'x'. Remove the zero: -216x + 6x2 = 216x + -6x2 + -216x + 6x2 Reorder the terms: -216x + 6x2 = 216x + -216x + -6x2 + 6x2 Combine like terms: 216x + -216x = 0 -216x + 6x2 = 0 + -6x2 + 6x2 -216x + 6x2 = -6x2 + 6x2 Combine like terms: -6x2 + 6x2 = 0 -216x + 6x2 = 0 Factor out the Greatest Common Factor (GCF), '6x'. 6x(-36 + x) = 0 Ignore the factor 6.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 '(-36 + x)' equal to zero and attempt to solve: Simplifying -36 + x = 0 Solving -36 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '36' to each side of the equation. -36 + 36 + x = 0 + 36 Combine like terms: -36 + 36 = 0 0 + x = 0 + 36 x = 0 + 36 Combine like terms: 0 + 36 = 36 x = 36 Simplifying x = 36Solution
x = {0, 36}
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