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Simplifying 10q2 + -450q = 0 Reorder the terms: -450q + 10q2 = 0 Solving -450q + 10q2 = 0 Solving for variable 'q'. Factor out the Greatest Common Factor (GCF), '10q'. 10q(-45 + q) = 0 Ignore the factor 10.Subproblem 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 '(-45 + q)' equal to zero and attempt to solve: Simplifying -45 + q = 0 Solving -45 + q = 0 Move all terms containing q to the left, all other terms to the right. Add '45' to each side of the equation. -45 + 45 + q = 0 + 45 Combine like terms: -45 + 45 = 0 0 + q = 0 + 45 q = 0 + 45 Combine like terms: 0 + 45 = 45 q = 45 Simplifying q = 45Solution
q = {0, 45}
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