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Simplifying -3q2 + -4q + 175 = 0 Reorder the terms: 175 + -4q + -3q2 = 0 Solving 175 + -4q + -3q2 = 0 Solving for variable 'q'. Factor a trinomial. (7 + -1q)(25 + 3q) = 0Subproblem 1
Set the factor '(7 + -1q)' equal to zero and attempt to solve: Simplifying 7 + -1q = 0 Solving 7 + -1q = 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 + -1q = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1q = 0 + -7 -1q = 0 + -7 Combine like terms: 0 + -7 = -7 -1q = -7 Divide each side by '-1'. q = 7 Simplifying q = 7Subproblem 2
Set the factor '(25 + 3q)' equal to zero and attempt to solve: Simplifying 25 + 3q = 0 Solving 25 + 3q = 0 Move all terms containing q to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + 3q = 0 + -25 Combine like terms: 25 + -25 = 0 0 + 3q = 0 + -25 3q = 0 + -25 Combine like terms: 0 + -25 = -25 3q = -25 Divide each side by '3'. q = -8.333333333 Simplifying q = -8.333333333Solution
q = {7, -8.333333333}
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