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Simplifying -1q2 + 30q = 0 Reorder the terms: 30q + -1q2 = 0 Solving 30q + -1q2 = 0 Solving for variable 'q'. Factor out the Greatest Common Factor (GCF), 'q'. q(30 + -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 '(30 + -1q)' equal to zero and attempt to solve: Simplifying 30 + -1q = 0 Solving 30 + -1q = 0 Move all terms containing q to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + -1q = 0 + -30 Combine like terms: 30 + -30 = 0 0 + -1q = 0 + -30 -1q = 0 + -30 Combine like terms: 0 + -30 = -30 -1q = -30 Divide each side by '-1'. q = 30 Simplifying q = 30Solution
q = {0, 30}
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