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Simplifying 30q2 + 23q + -14 = 0 Reorder the terms: -14 + 23q + 30q2 = 0 Solving -14 + 23q + 30q2 = 0 Solving for variable 'q'. Factor a trinomial. (-7 + -6q)(2 + -5q) = 0Subproblem 1
Set the factor '(-7 + -6q)' equal to zero and attempt to solve: Simplifying -7 + -6q = 0 Solving -7 + -6q = 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 + -6q = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -6q = 0 + 7 -6q = 0 + 7 Combine like terms: 0 + 7 = 7 -6q = 7 Divide each side by '-6'. q = -1.166666667 Simplifying q = -1.166666667Subproblem 2
Set the factor '(2 + -5q)' equal to zero and attempt to solve: Simplifying 2 + -5q = 0 Solving 2 + -5q = 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 + -5q = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -5q = 0 + -2 -5q = 0 + -2 Combine like terms: 0 + -2 = -2 -5q = -2 Divide each side by '-5'. q = 0.4 Simplifying q = 0.4Solution
q = {-1.166666667, 0.4}
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