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Simplifying -1q2 + 75q + 6250 = 0 Reorder the terms: 6250 + 75q + -1q2 = 0 Solving 6250 + 75q + -1q2 = 0 Solving for variable 'q'. Factor a trinomial. (125 + -1q)(50 + q) = 0Subproblem 1
Set the factor '(125 + -1q)' equal to zero and attempt to solve: Simplifying 125 + -1q = 0 Solving 125 + -1q = 0 Move all terms containing q to the left, all other terms to the right. Add '-125' to each side of the equation. 125 + -125 + -1q = 0 + -125 Combine like terms: 125 + -125 = 0 0 + -1q = 0 + -125 -1q = 0 + -125 Combine like terms: 0 + -125 = -125 -1q = -125 Divide each side by '-1'. q = 125 Simplifying q = 125Subproblem 2
Set the factor '(50 + q)' equal to zero and attempt to solve: Simplifying 50 + q = 0 Solving 50 + q = 0 Move all terms containing q to the left, all other terms to the right. Add '-50' to each side of the equation. 50 + -50 + q = 0 + -50 Combine like terms: 50 + -50 = 0 0 + q = 0 + -50 q = 0 + -50 Combine like terms: 0 + -50 = -50 q = -50 Simplifying q = -50Solution
q = {125, -50}
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