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Simplifying q2 + 35q = 0 Reorder the terms: 35q + q2 = 0 Solving 35q + q2 = 0 Solving for variable 'q'. Factor out the Greatest Common Factor (GCF), 'q'. q(35 + 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 '(35 + q)' equal to zero and attempt to solve: Simplifying 35 + q = 0 Solving 35 + q = 0 Move all terms containing q to the left, all other terms to the right. Add '-35' to each side of the equation. 35 + -35 + q = 0 + -35 Combine like terms: 35 + -35 = 0 0 + q = 0 + -35 q = 0 + -35 Combine like terms: 0 + -35 = -35 q = -35 Simplifying q = -35Solution
q = {0, -35}
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