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Simplifying -3q2 + 30q + -48 = 0 Reorder the terms: -48 + 30q + -3q2 = 0 Solving -48 + 30q + -3q2 = 0 Solving for variable 'q'. Factor out the Greatest Common Factor (GCF), '3'. 3(-16 + 10q + -1q2) = 0 Factor a trinomial. 3((-8 + q)(2 + -1q)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-8 + q)' equal to zero and attempt to solve: Simplifying -8 + q = 0 Solving -8 + q = 0 Move all terms containing q to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + q = 0 + 8 Combine like terms: -8 + 8 = 0 0 + q = 0 + 8 q = 0 + 8 Combine like terms: 0 + 8 = 8 q = 8 Simplifying q = 8Subproblem 2
Set the factor '(2 + -1q)' equal to zero and attempt to solve: Simplifying 2 + -1q = 0 Solving 2 + -1q = 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 + -1q = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1q = 0 + -2 -1q = 0 + -2 Combine like terms: 0 + -2 = -2 -1q = -2 Divide each side by '-1'. q = 2 Simplifying q = 2Solution
q = {8, 2}
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