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Simplifying 2q2 = 8q Solving 2q2 = 8q Solving for variable 'q'. Reorder the terms: -8q + 2q2 = 8q + -8q Combine like terms: 8q + -8q = 0 -8q + 2q2 = 0 Factor out the Greatest Common Factor (GCF), '2q'. 2q(-4 + 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 '(-4 + q)' equal to zero and attempt to solve: Simplifying -4 + q = 0 Solving -4 + q = 0 Move all terms containing q to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + q = 0 + 4 Combine like terms: -4 + 4 = 0 0 + q = 0 + 4 q = 0 + 4 Combine like terms: 0 + 4 = 4 q = 4 Simplifying q = 4Solution
q = {0, 4}
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