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Simplifying -1q2 + -14q + 15 = 0 Reorder the terms: 15 + -14q + -1q2 = 0 Solving 15 + -14q + -1q2 = 0 Solving for variable 'q'. Factor a trinomial. (1 + -1q)(15 + q) = 0Subproblem 1
Set the factor '(1 + -1q)' equal to zero and attempt to solve: Simplifying 1 + -1q = 0 Solving 1 + -1q = 0 Move all terms containing q to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1q = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1q = 0 + -1 -1q = 0 + -1 Combine like terms: 0 + -1 = -1 -1q = -1 Divide each side by '-1'. q = 1 Simplifying q = 1Subproblem 2
Set the factor '(15 + q)' equal to zero and attempt to solve: Simplifying 15 + q = 0 Solving 15 + q = 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 + q = 0 + -15 Combine like terms: 15 + -15 = 0 0 + q = 0 + -15 q = 0 + -15 Combine like terms: 0 + -15 = -15 q = -15 Simplifying q = -15Solution
q = {1, -15}
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