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Simplifying 2q2 + -11q + -21 = 0 Reorder the terms: -21 + -11q + 2q2 = 0 Solving -21 + -11q + 2q2 = 0 Solving for variable 'q'. Factor a trinomial. (-3 + -2q)(7 + -1q) = 0Subproblem 1
Set the factor '(-3 + -2q)' equal to zero and attempt to solve: Simplifying -3 + -2q = 0 Solving -3 + -2q = 0 Move all terms containing q to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -2q = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -2q = 0 + 3 -2q = 0 + 3 Combine like terms: 0 + 3 = 3 -2q = 3 Divide each side by '-2'. q = -1.5 Simplifying q = -1.5Subproblem 2
Set the factor '(7 + -1q)' equal to zero and attempt to solve: Simplifying 7 + -1q = 0 Solving 7 + -1q = 0 Move all terms containing q to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -1q = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1q = 0 + -7 -1q = 0 + -7 Combine like terms: 0 + -7 = -7 -1q = -7 Divide each side by '-1'. q = 7 Simplifying q = 7Solution
q = {-1.5, 7}
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