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Simplifying 5q(4q + -3) = 0 Reorder the terms: 5q(-3 + 4q) = 0 (-3 * 5q + 4q * 5q) = 0 (-15q + 20q2) = 0 Solving -15q + 20q2 = 0 Solving for variable 'q'. Factor out the Greatest Common Factor (GCF), '5q'. 5q(-3 + 4q) = 0 Ignore the factor 5.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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