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Simplifying 6p2 + -19pq + 10q2 = 0 Reorder the terms: -19pq + 6p2 + 10q2 = 0 Solving -19pq + 6p2 + 10q2 = 0 Solving for variable 'p'. Factor a trinomial. (2p + -5q)(3p + -2q) = 0Subproblem 1
Set the factor '(2p + -5q)' equal to zero and attempt to solve: Simplifying 2p + -5q = 0 Solving 2p + -5q = 0 Move all terms containing p to the left, all other terms to the right. Add '5q' to each side of the equation. 2p + -5q + 5q = 0 + 5q Combine like terms: -5q + 5q = 0 2p + 0 = 0 + 5q 2p = 0 + 5q Remove the zero: 2p = 5q Divide each side by '2'. p = 2.5q Simplifying p = 2.5qSubproblem 2
Set the factor '(3p + -2q)' equal to zero and attempt to solve: Simplifying 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 = {2.5q, 0.6666666667q}
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