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Simplifying 4q2 + -47q + -12 = 0 Reorder the terms: -12 + -47q + 4q2 = 0 Solving -12 + -47q + 4q2 = 0 Solving for variable 'q'. Factor a trinomial. (-1 + -4q)(12 + -1q) = 0Subproblem 1
Set the factor '(-1 + -4q)' equal to zero and attempt to solve: Simplifying -1 + -4q = 0 Solving -1 + -4q = 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 + -4q = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -4q = 0 + 1 -4q = 0 + 1 Combine like terms: 0 + 1 = 1 -4q = 1 Divide each side by '-4'. q = -0.25 Simplifying q = -0.25Subproblem 2
Set the factor '(12 + -1q)' equal to zero and attempt to solve: Simplifying 12 + -1q = 0 Solving 12 + -1q = 0 Move all terms containing q to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -1q = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -1q = 0 + -12 -1q = 0 + -12 Combine like terms: 0 + -12 = -12 -1q = -12 Divide each side by '-1'. q = 12 Simplifying q = 12Solution
q = {-0.25, 12}
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