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Simplifying -25q2 + 700q + -2400 = 0 Reorder the terms: -2400 + 700q + -25q2 = 0 Solving -2400 + 700q + -25q2 = 0 Solving for variable 'q'. Factor out the Greatest Common Factor (GCF), '25'. 25(-96 + 28q + -1q2) = 0 Factor a trinomial. 25((-24 + q)(4 + -1q)) = 0 Ignore the factor 25.Subproblem 1
Set the factor '(-24 + q)' equal to zero and attempt to solve: Simplifying -24 + q = 0 Solving -24 + q = 0 Move all terms containing q to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + q = 0 + 24 Combine like terms: -24 + 24 = 0 0 + q = 0 + 24 q = 0 + 24 Combine like terms: 0 + 24 = 24 q = 24 Simplifying q = 24Subproblem 2
Set the factor '(4 + -1q)' equal to zero and attempt to solve: Simplifying 4 + -1q = 0 Solving 4 + -1q = 0 Move all terms containing q to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1q = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1q = 0 + -4 -1q = 0 + -4 Combine like terms: 0 + -4 = -4 -1q = -4 Divide each side by '-1'. q = 4 Simplifying q = 4Solution
q = {24, 4}
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