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Simplifying 5p2 + 13pq + 6q2 = 0 Reorder the terms: 13pq + 5p2 + 6q2 = 0 Solving 13pq + 5p2 + 6q2 = 0 Solving for variable 'p'. Factor a trinomial. (5p + 3q)(p + 2q) = 0Subproblem 1
Set the factor '(5p + 3q)' equal to zero and attempt to solve: Simplifying 5p + 3q = 0 Solving 5p + 3q = 0 Move all terms containing p to the left, all other terms to the right. Add '-3q' to each side of the equation. 5p + 3q + -3q = 0 + -3q Combine like terms: 3q + -3q = 0 5p + 0 = 0 + -3q 5p = 0 + -3q Remove the zero: 5p = -3q Divide each side by '5'. p = -0.6q Simplifying p = -0.6qSubproblem 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 = {-0.6q, -2q}
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