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Simplifying -144 = q2 + -26q Reorder the terms: -144 = -26q + q2 Solving -144 = -26q + q2 Solving for variable 'q'. Reorder the terms: -144 + 26q + -1q2 = -26q + 26q + q2 + -1q2 Combine like terms: -26q + 26q = 0 -144 + 26q + -1q2 = 0 + q2 + -1q2 -144 + 26q + -1q2 = q2 + -1q2 Combine like terms: q2 + -1q2 = 0 -144 + 26q + -1q2 = 0 Factor a trinomial. (-18 + q)(8 + -1q) = 0Subproblem 1
Set the factor '(-18 + q)' equal to zero and attempt to solve: Simplifying -18 + q = 0 Solving -18 + q = 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 + q = 0 + 18 Combine like terms: -18 + 18 = 0 0 + q = 0 + 18 q = 0 + 18 Combine like terms: 0 + 18 = 18 q = 18 Simplifying q = 18Subproblem 2
Set the factor '(8 + -1q)' equal to zero and attempt to solve: Simplifying 8 + -1q = 0 Solving 8 + -1q = 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 + -1q = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1q = 0 + -8 -1q = 0 + -8 Combine like terms: 0 + -8 = -8 -1q = -8 Divide each side by '-1'. q = 8 Simplifying q = 8Solution
q = {18, 8}
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