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Simplifying 2p2 + -7pq + 6q2 = 0 Reorder the terms: -7pq + 2p2 + 6q2 = 0 Solving -7pq + 2p2 + 6q2 = 0 Solving for variable 'p'. Factor a trinomial. (p + -2q)(2p + -3q) = 0Subproblem 1
Set the factor '(p + -2q)' equal to zero and attempt to solve: Simplifying p + -2q = 0 Solving p + -2q = 0 Move all terms containing p to the left, all other terms to the right. Add '2q' to each side of the equation. p + -2q + 2q = 0 + 2q Combine like terms: -2q + 2q = 0 p + 0 = 0 + 2q p = 0 + 2q Remove the zero: p = 2q Simplifying p = 2qSubproblem 2
Set the factor '(2p + -3q)' equal to zero and attempt to solve: Simplifying 2p + -3q = 0 Solving 2p + -3q = 0 Move all terms containing p to the left, all other terms to the right. Add '3q' to each side of the equation. 2p + -3q + 3q = 0 + 3q Combine like terms: -3q + 3q = 0 2p + 0 = 0 + 3q 2p = 0 + 3q Remove the zero: 2p = 3q Divide each side by '2'. p = 1.5q Simplifying p = 1.5qSolution
p = {2q, 1.5q}
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