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Simplifying 3q3 + -12q = 0 Reorder the terms: -12q + 3q3 = 0 Solving -12q + 3q3 = 0 Solving for variable 'q'. Factor out the Greatest Common Factor (GCF), '3q'. 3q(-4 + q2) = 0 Factor a difference between two squares. 3q((2 + q)(-2 + q)) = 0 Ignore the factor 3.Subproblem 1
Set the factor 'q' equal to zero and attempt to solve: Simplifying q = 0 Solving q = 0 Move all terms containing q to the left, all other terms to the right. Simplifying q = 0Subproblem 2
Set the factor '(2 + q)' equal to zero and attempt to solve: Simplifying 2 + q = 0 Solving 2 + q = 0 Move all terms containing q to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + q = 0 + -2 Combine like terms: 2 + -2 = 0 0 + q = 0 + -2 q = 0 + -2 Combine like terms: 0 + -2 = -2 q = -2 Simplifying q = -2Subproblem 3
Set the factor '(-2 + q)' equal to zero and attempt to solve: Simplifying -2 + q = 0 Solving -2 + q = 0 Move all terms containing q to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + q = 0 + 2 Combine like terms: -2 + 2 = 0 0 + q = 0 + 2 q = 0 + 2 Combine like terms: 0 + 2 = 2 q = 2 Simplifying q = 2Solution
q = {0, -2, 2}
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