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Simplifying 0 = 2q2 + -10q Reorder the terms: 0 = -10q + 2q2 Solving 0 = -10q + 2q2 Solving for variable 'q'. Remove the zero: 10q + -2q2 = -10q + 2q2 + 10q + -2q2 Reorder the terms: 10q + -2q2 = -10q + 10q + 2q2 + -2q2 Combine like terms: -10q + 10q = 0 10q + -2q2 = 0 + 2q2 + -2q2 10q + -2q2 = 2q2 + -2q2 Combine like terms: 2q2 + -2q2 = 0 10q + -2q2 = 0 Factor out the Greatest Common Factor (GCF), '2q'. 2q(5 + -1q) = 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 '(5 + -1q)' equal to zero and attempt to solve: Simplifying 5 + -1q = 0 Solving 5 + -1q = 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 + -1q = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1q = 0 + -5 -1q = 0 + -5 Combine like terms: 0 + -5 = -5 -1q = -5 Divide each side by '-1'. q = 5 Simplifying q = 5Solution
q = {0, 5}
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