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Simplifying 12q2 + -4q + -40 = 0 Reorder the terms: -40 + -4q + 12q2 = 0 Solving -40 + -4q + 12q2 = 0 Solving for variable 'q'. Factor out the Greatest Common Factor (GCF), '4'. 4(-10 + -1q + 3q2) = 0 Factor a trinomial. 4((-5 + -3q)(2 + -1q)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-5 + -3q)' equal to zero and attempt to solve: Simplifying -5 + -3q = 0 Solving -5 + -3q = 0 Move all terms containing q to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -3q = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -3q = 0 + 5 -3q = 0 + 5 Combine like terms: 0 + 5 = 5 -3q = 5 Divide each side by '-3'. q = -1.666666667 Simplifying q = -1.666666667Subproblem 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 = {-1.666666667, 2}
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