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Simplifying 2p(3p + -2q) = 0 (3p * 2p + -2q * 2p) = 0 Reorder the terms: (-4pq + 6p2) = 0 (-4pq + 6p2) = 0 Solving -4pq + 6p2 = 0 Solving for variable 'p'. Factor out the Greatest Common Factor (GCF), '2p'. 2p(-2q + 3p) = 0 Ignore the factor 2.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 '(-2q + 3p)' equal to zero and attempt to solve: Simplifying -2q + 3p = 0 Reorder the terms: 3p + -2q = 0 Solving 3p + -2q = 0 Move all terms containing p to the left, all other terms to the right. Add '2q' to each side of the equation. 3p + -2q + 2q = 0 + 2q Combine like terms: -2q + 2q = 0 3p + 0 = 0 + 2q 3p = 0 + 2q Remove the zero: 3p = 2q Divide each side by '3'. p = 0.6666666667q Simplifying p = 0.6666666667qSolution
p = {0, 0.6666666667q}
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