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Simplifying 3q2 + q + -14 = 0 Reorder the terms: -14 + q + 3q2 = 0 Solving -14 + q + 3q2 = 0 Solving for variable 'q'. Factor a trinomial. (-7 + -3q)(2 + -1q) = 0Subproblem 1
Set the factor '(-7 + -3q)' equal to zero and attempt to solve: Simplifying -7 + -3q = 0 Solving -7 + -3q = 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 + -3q = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -3q = 0 + 7 -3q = 0 + 7 Combine like terms: 0 + 7 = 7 -3q = 7 Divide each side by '-3'. q = -2.333333333 Simplifying q = -2.333333333Subproblem 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 = {-2.333333333, 2}
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