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Simplifying 0 = x3 + 12x2 Reorder the terms: 0 = 12x2 + x3 Solving 0 = 12x2 + x3 Solving for variable 'x'. Remove the zero: -12x2 + -1x3 = 12x2 + x3 + -12x2 + -1x3 Reorder the terms: -12x2 + -1x3 = 12x2 + -12x2 + x3 + -1x3 Combine like terms: 12x2 + -12x2 = 0 -12x2 + -1x3 = 0 + x3 + -1x3 -12x2 + -1x3 = x3 + -1x3 Combine like terms: x3 + -1x3 = 0 -12x2 + -1x3 = 0 Factor out the Greatest Common Factor (GCF), '-1x2'. -1x2(12 + x) = 0 Ignore the factor -1.Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve: Simplifying x2 = 0 Solving x2 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x2 = 0 Take the square root of each side: x = {0}Subproblem 2
Set the factor '(12 + x)' equal to zero and attempt to solve: Simplifying 12 + x = 0 Solving 12 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + x = 0 + -12 Combine like terms: 12 + -12 = 0 0 + x = 0 + -12 x = 0 + -12 Combine like terms: 0 + -12 = -12 x = -12 Simplifying x = -12Solution
x = {0, -12}
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