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Simplifying 0 = 72x + -2x2 Solving 0 = 72x + -2x2 Solving for variable 'x'. Remove the zero: -72x + 2x2 = 72x + -2x2 + -72x + 2x2 Reorder the terms: -72x + 2x2 = 72x + -72x + -2x2 + 2x2 Combine like terms: 72x + -72x = 0 -72x + 2x2 = 0 + -2x2 + 2x2 -72x + 2x2 = -2x2 + 2x2 Combine like terms: -2x2 + 2x2 = 0 -72x + 2x2 = 0 Factor out the Greatest Common Factor (GCF), '2x'. 2x(-36 + x) = 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 '(-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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