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Simplifying 30q2 + 14q + -4 = 0 Reorder the terms: -4 + 14q + 30q2 = 0 Solving -4 + 14q + 30q2 = 0 Solving for variable 'q'. Factor out the Greatest Common Factor (GCF), '2'. 2(-2 + 7q + 15q2) = 0 Factor a trinomial. 2((-2 + -3q)(1 + -5q)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-2 + -3q)' equal to zero and attempt to solve: Simplifying -2 + -3q = 0 Solving -2 + -3q = 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 + -3q = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -3q = 0 + 2 -3q = 0 + 2 Combine like terms: 0 + 2 = 2 -3q = 2 Divide each side by '-3'. q = -0.6666666667 Simplifying q = -0.6666666667Subproblem 2
Set the factor '(1 + -5q)' equal to zero and attempt to solve: Simplifying 1 + -5q = 0 Solving 1 + -5q = 0 Move all terms containing q to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -5q = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -5q = 0 + -1 -5q = 0 + -1 Combine like terms: 0 + -1 = -1 -5q = -1 Divide each side by '-5'. q = 0.2 Simplifying q = 0.2Solution
q = {-0.6666666667, 0.2}
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