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