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Simplifying -3q(4q + -3) = 0 Reorder the terms: -3q(-3 + 4q) = 0 (-3 * -3q + 4q * -3q) = 0 (9q + -12q2) = 0 Solving 9q + -12q2 = 0 Solving for variable 'q'. Factor out the Greatest Common Factor (GCF), '3q'. 3q(3 + -4q) = 0 Ignore the factor 3.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 '(3 + -4q)' equal to zero and attempt to solve: Simplifying 3 + -4q = 0 Solving 3 + -4q = 0 Move all terms containing q to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -4q = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -4q = 0 + -3 -4q = 0 + -3 Combine like terms: 0 + -3 = -3 -4q = -3 Divide each side by '-4'. q = 0.75 Simplifying q = 0.75Solution
q = {0, 0.75}
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