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Simplifying q2 + 75q + -6250 = 0 Reorder the terms: -6250 + 75q + q2 = 0 Solving -6250 + 75q + q2 = 0 Solving for variable 'q'. Factor a trinomial. (-125 + -1q)(50 + -1q) = 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 + -1q)' equal to zero and attempt to solve: Simplifying 50 + -1q = 0 Solving 50 + -1q = 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 + -1q = 0 + -50 Combine like terms: 50 + -50 = 0 0 + -1q = 0 + -50 -1q = 0 + -50 Combine like terms: 0 + -50 = -50 -1q = -50 Divide each side by '-1'. q = 50 Simplifying q = 50Solution
q = {-125, 50}
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