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Simplifying 16p2 + -4pq = 0 Reorder the terms: -4pq + 16p2 = 0 Solving -4pq + 16p2 = 0 Solving for variable 'p'. Factor out the Greatest Common Factor (GCF), '4p'. 4p(-1q + 4p) = 0 Ignore the factor 4.Subproblem 1
Set the factor 'p' equal to zero and attempt to solve: Simplifying p = 0 Solving p = 0 Move all terms containing p to the left, all other terms to the right. Simplifying p = 0Subproblem 2
Set the factor '(-1q + 4p)' equal to zero and attempt to solve: Simplifying -1q + 4p = 0 Reorder the terms: 4p + -1q = 0 Solving 4p + -1q = 0 Move all terms containing p to the left, all other terms to the right. Add 'q' to each side of the equation. 4p + -1q + q = 0 + q Combine like terms: -1q + q = 0 4p + 0 = 0 + q 4p = 0 + q Remove the zero: 4p = q Divide each side by '4'. p = 0.25q Simplifying p = 0.25qSolution
p = {0, 0.25q}
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