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Simplifying 4q + -16q2 = 0 Solving 4q + -16q2 = 0 Solving for variable 'q'. Factor out the Greatest Common Factor (GCF), '4q'. 4q(1 + -4q) = 0 Ignore the factor 4.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 '(1 + -4q)' equal to zero and attempt to solve: Simplifying 1 + -4q = 0 Solving 1 + -4q = 0 Move all terms containing q to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -4q = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -4q = 0 + -1 -4q = 0 + -1 Combine like terms: 0 + -1 = -1 -4q = -1 Divide each side by '-4'. q = 0.25 Simplifying q = 0.25Solution
q = {0, 0.25}
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