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Simplifying -1q2 + 39q + -270 = 0 Reorder the terms: -270 + 39q + -1q2 = 0 Solving -270 + 39q + -1q2 = 0 Solving for variable 'q'. Factor a trinomial. (-30 + q)(9 + -1q) = 0Subproblem 1
Set the factor '(-30 + q)' equal to zero and attempt to solve: Simplifying -30 + q = 0 Solving -30 + q = 0 Move all terms containing q to the left, all other terms to the right. Add '30' to each side of the equation. -30 + 30 + q = 0 + 30 Combine like terms: -30 + 30 = 0 0 + q = 0 + 30 q = 0 + 30 Combine like terms: 0 + 30 = 30 q = 30 Simplifying q = 30Subproblem 2
Set the factor '(9 + -1q)' equal to zero and attempt to solve: Simplifying 9 + -1q = 0 Solving 9 + -1q = 0 Move all terms containing q to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -1q = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1q = 0 + -9 -1q = 0 + -9 Combine like terms: 0 + -9 = -9 -1q = -9 Divide each side by '-1'. q = 9 Simplifying q = 9Solution
q = {30, 9}
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