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Simplifying q = 250q + -4q2 Solving q = 250q + -4q2 Solving for variable 'q'. Combine like terms: q + -250q = -249q -249q + 4q2 = 250q + -4q2 + -250q + 4q2 Reorder the terms: -249q + 4q2 = 250q + -250q + -4q2 + 4q2 Combine like terms: 250q + -250q = 0 -249q + 4q2 = 0 + -4q2 + 4q2 -249q + 4q2 = -4q2 + 4q2 Combine like terms: -4q2 + 4q2 = 0 -249q + 4q2 = 0 Factor out the Greatest Common Factor (GCF), 'q'. q(-249 + 4q) = 0Subproblem 1
Set the factor 'q' equal to zero and attempt to solve: Simplifying q = 0 Solving q = 0 Move all terms containing q to the left, all other terms to the right. Simplifying q = 0Subproblem 2
Set the factor '(-249 + 4q)' equal to zero and attempt to solve: Simplifying -249 + 4q = 0 Solving -249 + 4q = 0 Move all terms containing q to the left, all other terms to the right. Add '249' to each side of the equation. -249 + 249 + 4q = 0 + 249 Combine like terms: -249 + 249 = 0 0 + 4q = 0 + 249 4q = 0 + 249 Combine like terms: 0 + 249 = 249 4q = 249 Divide each side by '4'. q = 62.25 Simplifying q = 62.25Solution
q = {0, 62.25}
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