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Simplifying 2q2 + 14q = 0 Reorder the terms: 14q + 2q2 = 0 Solving 14q + 2q2 = 0 Solving for variable 'q'. Factor out the Greatest Common Factor (GCF), '2q'. 2q(7 + q) = 0 Ignore the factor 2.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 '(7 + q)' equal to zero and attempt to solve: Simplifying 7 + q = 0 Solving 7 + q = 0 Move all terms containing q to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + q = 0 + -7 Combine like terms: 7 + -7 = 0 0 + q = 0 + -7 q = 0 + -7 Combine like terms: 0 + -7 = -7 q = -7 Simplifying q = -7Solution
q = {0, -7}
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