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Simplifying -2q2 + 2q + 60 = 0 Reorder the terms: 60 + 2q + -2q2 = 0 Solving 60 + 2q + -2q2 = 0 Solving for variable 'q'. Factor out the Greatest Common Factor (GCF), '2'. 2(30 + q + -1q2) = 0 Factor a trinomial. 2((6 + -1q)(5 + q)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(6 + -1q)' equal to zero and attempt to solve: Simplifying 6 + -1q = 0 Solving 6 + -1q = 0 Move all terms containing q to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1q = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1q = 0 + -6 -1q = 0 + -6 Combine like terms: 0 + -6 = -6 -1q = -6 Divide each side by '-1'. q = 6 Simplifying q = 6Subproblem 2
Set the factor '(5 + q)' equal to zero and attempt to solve: Simplifying 5 + q = 0 Solving 5 + q = 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 + q = 0 + -5 Combine like terms: 5 + -5 = 0 0 + q = 0 + -5 q = 0 + -5 Combine like terms: 0 + -5 = -5 q = -5 Simplifying q = -5Solution
q = {6, -5}
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