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Simplifying 4q2 + 33q + 35 = 0 Reorder the terms: 35 + 33q + 4q2 = 0 Solving 35 + 33q + 4q2 = 0 Solving for variable 'q'. Factor a trinomial. (7 + q)(5 + 4q) = 0Subproblem 1
Set the factor '(7 + q)' equal to zero and attempt to solve: Simplifying 7 + q = 0 Solving 7 + q = 0 Move all terms containing q to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + q = 0 + -7 Combine like terms: 7 + -7 = 0 0 + q = 0 + -7 q = 0 + -7 Combine like terms: 0 + -7 = -7 q = -7 Simplifying q = -7Subproblem 2
Set the factor '(5 + 4q)' equal to zero and attempt to solve: Simplifying 5 + 4q = 0 Solving 5 + 4q = 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 + 4q = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 4q = 0 + -5 4q = 0 + -5 Combine like terms: 0 + -5 = -5 4q = -5 Divide each side by '4'. q = -1.25 Simplifying q = -1.25Solution
q = {-7, -1.25}
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