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Simplifying 5q3 + -44q2 = 9q Reorder the terms: -44q2 + 5q3 = 9q Solving -44q2 + 5q3 = 9q Solving for variable 'q'. Reorder the terms: -9q + -44q2 + 5q3 = 9q + -9q Combine like terms: 9q + -9q = 0 -9q + -44q2 + 5q3 = 0 Factor out the Greatest Common Factor (GCF), 'q'. q(-9 + -44q + 5q2) = 0 Factor a trinomial. q((-1 + -5q)(9 + -1q)) = 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 '(-1 + -5q)' equal to zero and attempt to solve: Simplifying -1 + -5q = 0 Solving -1 + -5q = 0 Move all terms containing q to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -5q = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -5q = 0 + 1 -5q = 0 + 1 Combine like terms: 0 + 1 = 1 -5q = 1 Divide each side by '-5'. q = -0.2 Simplifying q = -0.2Subproblem 3
Set the factor '(9 + -1q)' equal to zero and attempt to solve: Simplifying 9 + -1q = 0 Solving 9 + -1q = 0 Move all terms containing q to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -1q = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1q = 0 + -9 -1q = 0 + -9 Combine like terms: 0 + -9 = -9 -1q = -9 Divide each side by '-1'. q = 9 Simplifying q = 9Solution
q = {0, -0.2, 9}
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