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Simplifying 8q(6 + -25q) = 0 (6 * 8q + -25q * 8q) = 0 (48q + -200q2) = 0 Solving 48q + -200q2 = 0 Solving for variable 'q'. Factor out the Greatest Common Factor (GCF), '8q'. 8q(6 + -25q) = 0 Ignore the factor 8.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 '(6 + -25q)' equal to zero and attempt to solve: Simplifying 6 + -25q = 0 Solving 6 + -25q = 0 Move all terms containing q to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -25q = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -25q = 0 + -6 -25q = 0 + -6 Combine like terms: 0 + -6 = -6 -25q = -6 Divide each side by '-25'. q = 0.24 Simplifying q = 0.24Solution
q = {0, 0.24}
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