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Simplifying q2 + 13q + -558 = 0 Reorder the terms: -558 + 13q + q2 = 0 Solving -558 + 13q + q2 = 0 Solving for variable 'q'. Factor a trinomial. (-31 + -1q)(18 + -1q) = 0Subproblem 1
Set the factor '(-31 + -1q)' equal to zero and attempt to solve: Simplifying -31 + -1q = 0 Solving -31 + -1q = 0 Move all terms containing q to the left, all other terms to the right. Add '31' to each side of the equation. -31 + 31 + -1q = 0 + 31 Combine like terms: -31 + 31 = 0 0 + -1q = 0 + 31 -1q = 0 + 31 Combine like terms: 0 + 31 = 31 -1q = 31 Divide each side by '-1'. q = -31 Simplifying q = -31Subproblem 2
Set the factor '(18 + -1q)' equal to zero and attempt to solve: Simplifying 18 + -1q = 0 Solving 18 + -1q = 0 Move all terms containing q to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + -1q = 0 + -18 Combine like terms: 18 + -18 = 0 0 + -1q = 0 + -18 -1q = 0 + -18 Combine like terms: 0 + -18 = -18 -1q = -18 Divide each side by '-1'. q = 18 Simplifying q = 18Solution
q = {-31, 18}
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