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Simplifying q2 + -6q + -72 = 0 Reorder the terms: -72 + -6q + q2 = 0 Solving -72 + -6q + q2 = 0 Solving for variable 'q'. Factor a trinomial. (-6 + -1q)(12 + -1q) = 0Subproblem 1
Set the factor '(-6 + -1q)' equal to zero and attempt to solve: Simplifying -6 + -1q = 0 Solving -6 + -1q = 0 Move all terms containing q to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -1q = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -1q = 0 + 6 -1q = 0 + 6 Combine like terms: 0 + 6 = 6 -1q = 6 Divide each side by '-1'. q = -6 Simplifying q = -6Subproblem 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 = {-6, 12}
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