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Simplifying -1q2 + 60q + -675 = 0 Reorder the terms: -675 + 60q + -1q2 = 0 Solving -675 + 60q + -1q2 = 0 Solving for variable 'q'. Factor a trinomial. (-45 + q)(15 + -1q) = 0Subproblem 1
Set the factor '(-45 + q)' equal to zero and attempt to solve: Simplifying -45 + q = 0 Solving -45 + q = 0 Move all terms containing q to the left, all other terms to the right. Add '45' to each side of the equation. -45 + 45 + q = 0 + 45 Combine like terms: -45 + 45 = 0 0 + q = 0 + 45 q = 0 + 45 Combine like terms: 0 + 45 = 45 q = 45 Simplifying q = 45Subproblem 2
Set the factor '(15 + -1q)' equal to zero and attempt to solve: Simplifying 15 + -1q = 0 Solving 15 + -1q = 0 Move all terms containing q to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -1q = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -1q = 0 + -15 -1q = 0 + -15 Combine like terms: 0 + -15 = -15 -1q = -15 Divide each side by '-1'. q = 15 Simplifying q = 15Solution
q = {45, 15}
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