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Simplifying q2 + 8q + -48 = 0 Reorder the terms: -48 + 8q + q2 = 0 Solving -48 + 8q + q2 = 0 Solving for variable 'q'. Factor a trinomial. (-12 + -1q)(4 + -1q) = 0Subproblem 1
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 = -12Subproblem 2
Set the factor '(4 + -1q)' equal to zero and attempt to solve: Simplifying 4 + -1q = 0 Solving 4 + -1q = 0 Move all terms containing q to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1q = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1q = 0 + -4 -1q = 0 + -4 Combine like terms: 0 + -4 = -4 -1q = -4 Divide each side by '-1'. q = 4 Simplifying q = 4Solution
q = {-12, 4}
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