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Simplifying q2 + 2q + -8 = 0 Reorder the terms: -8 + 2q + q2 = 0 Solving -8 + 2q + q2 = 0 Solving for variable 'q'. Factor a trinomial. (-4 + -1q)(2 + -1q) = 0Subproblem 1
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 = -4Subproblem 2
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 = 2Solution
q = {-4, 2}
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