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Simplifying 4q2 + -23q + -6 = 0 Reorder the terms: -6 + -23q + 4q2 = 0 Solving -6 + -23q + 4q2 = 0 Solving for variable 'q'. Factor a trinomial. (-1 + -4q)(6 + -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 '(6 + -1q)' equal to zero and attempt to solve: Simplifying 6 + -1q = 0 Solving 6 + -1q = 0 Move all terms containing q to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1q = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1q = 0 + -6 -1q = 0 + -6 Combine like terms: 0 + -6 = -6 -1q = -6 Divide each side by '-1'. q = 6 Simplifying q = 6Solution
q = {-0.25, 6}
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