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Simplifying 8q2 + -41q + 5 = 0 Reorder the terms: 5 + -41q + 8q2 = 0 Solving 5 + -41q + 8q2 = 0 Solving for variable 'q'. Factor a trinomial. (1 + -8q)(5 + -1q) = 0Subproblem 1
Set the factor '(1 + -8q)' equal to zero and attempt to solve: Simplifying 1 + -8q = 0 Solving 1 + -8q = 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 + -8q = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -8q = 0 + -1 -8q = 0 + -1 Combine like terms: 0 + -1 = -1 -8q = -1 Divide each side by '-8'. q = 0.125 Simplifying q = 0.125Subproblem 2
Set the factor '(5 + -1q)' equal to zero and attempt to solve: Simplifying 5 + -1q = 0 Solving 5 + -1q = 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 + -1q = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1q = 0 + -5 -1q = 0 + -5 Combine like terms: 0 + -5 = -5 -1q = -5 Divide each side by '-1'. q = 5 Simplifying q = 5Solution
q = {0.125, 5}
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