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Simplifying 1q3 + -40q2 = 0 Reorder the terms: -40q2 + 1q3 = 0 Solving -40q2 + 1q3 = 0 Solving for variable 'q'. Factor out the Greatest Common Factor (GCF), 'q2'. q2(-40 + q) = 0Subproblem 1
Set the factor 'q2' equal to zero and attempt to solve: Simplifying q2 = 0 Solving q2 = 0 Move all terms containing q to the left, all other terms to the right. Simplifying q2 = 0 Take the square root of each side: q = {0}Subproblem 2
Set the factor '(-40 + q)' equal to zero and attempt to solve: Simplifying -40 + q = 0 Solving -40 + q = 0 Move all terms containing q to the left, all other terms to the right. Add '40' to each side of the equation. -40 + 40 + q = 0 + 40 Combine like terms: -40 + 40 = 0 0 + q = 0 + 40 q = 0 + 40 Combine like terms: 0 + 40 = 40 q = 40 Simplifying q = 40Solution
q = {0, 40}
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