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Simplifying q2 + -12q + -96 = -96 Reorder the terms: -96 + -12q + q2 = -96 Add '96' to each side of the equation. -96 + -12q + 96 + q2 = -96 + 96 Reorder the terms: -96 + 96 + -12q + q2 = -96 + 96 Combine like terms: -96 + 96 = 0 0 + -12q + q2 = -96 + 96 -12q + q2 = -96 + 96 Combine like terms: -96 + 96 = 0 -12q + q2 = 0 Solving -12q + q2 = 0 Solving for variable 'q'. Factor out the Greatest Common Factor (GCF), 'q'. q(-12 + q) = 0Subproblem 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 '(-12 + q)' equal to zero and attempt to solve: Simplifying -12 + q = 0 Solving -12 + q = 0 Move all terms containing q to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + q = 0 + 12 Combine like terms: -12 + 12 = 0 0 + q = 0 + 12 q = 0 + 12 Combine like terms: 0 + 12 = 12 q = 12 Simplifying q = 12Solution
q = {0, 12}
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