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Simplifying 0 = 3q2 + 15q Reorder the terms: 0 = 15q + 3q2 Solving 0 = 15q + 3q2 Solving for variable 'q'. Remove the zero: -15q + -3q2 = 15q + 3q2 + -15q + -3q2 Reorder the terms: -15q + -3q2 = 15q + -15q + 3q2 + -3q2 Combine like terms: 15q + -15q = 0 -15q + -3q2 = 0 + 3q2 + -3q2 -15q + -3q2 = 3q2 + -3q2 Combine like terms: 3q2 + -3q2 = 0 -15q + -3q2 = 0 Factor out the Greatest Common Factor (GCF), '-3q'. -3q(5 + 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 '(5 + q)' equal to zero and attempt to solve: Simplifying 5 + q = 0 Solving 5 + q = 0 Move all terms containing q to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + q = 0 + -5 Combine like terms: 5 + -5 = 0 0 + q = 0 + -5 q = 0 + -5 Combine like terms: 0 + -5 = -5 q = -5 Simplifying q = -5Solution
q = {0, -5}
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