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Simplifying q2 + -10q + -24 = 0 Reorder the terms: -24 + -10q + q2 = 0 Solving -24 + -10q + q2 = 0 Solving for variable 'q'. Factor a trinomial. (-2 + -1q)(12 + -1q) = 0Subproblem 1
Set the factor '(-2 + -1q)' equal to zero and attempt to solve: Simplifying -2 + -1q = 0 Solving -2 + -1q = 0 Move all terms containing q to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -1q = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1q = 0 + 2 -1q = 0 + 2 Combine like terms: 0 + 2 = 2 -1q = 2 Divide each side by '-1'. q = -2 Simplifying q = -2Subproblem 2
Set the factor '(12 + -1q)' equal to zero and attempt to solve: Simplifying 12 + -1q = 0 Solving 12 + -1q = 0 Move all terms containing q to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -1q = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -1q = 0 + -12 -1q = 0 + -12 Combine like terms: 0 + -12 = -12 -1q = -12 Divide each side by '-1'. q = 12 Simplifying q = 12Solution
q = {-2, 12}
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