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