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Simplifying 9p2 + -25pq + -6q2 = 0 Reorder the terms: -25pq + 9p2 + -6q2 = 0 Solving -25pq + 9p2 + -6q2 = 0 Solving for variable 'p'. Factor a trinomial. (p + -3q)(9p + 2q) = 0Subproblem 1
Set the factor '(p + -3q)' equal to zero and attempt to solve: Simplifying p + -3q = 0 Solving p + -3q = 0 Move all terms containing p to the left, all other terms to the right. Add '3q' to each side of the equation. p + -3q + 3q = 0 + 3q Combine like terms: -3q + 3q = 0 p + 0 = 0 + 3q p = 0 + 3q Remove the zero: p = 3q Simplifying p = 3qSubproblem 2
Set the factor '(9p + 2q)' equal to zero and attempt to solve: Simplifying 9p + 2q = 0 Solving 9p + 2q = 0 Move all terms containing p to the left, all other terms to the right. Add '-2q' to each side of the equation. 9p + 2q + -2q = 0 + -2q Combine like terms: 2q + -2q = 0 9p + 0 = 0 + -2q 9p = 0 + -2q Remove the zero: 9p = -2q Divide each side by '9'. p = -0.2222222222q Simplifying p = -0.2222222222qSolution
p = {3q, -0.2222222222q}
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