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Simplifying 4q2 + 16qp + 15p2 = 0 Reorder the terms: 16pq + 15p2 + 4q2 = 0 Solving 16pq + 15p2 + 4q2 = 0 Solving for variable 'p'. Factor a trinomial. (5p + 2q)(3p + 2q) = 0Subproblem 1
Set the factor '(5p + 2q)' equal to zero and attempt to solve: Simplifying 5p + 2q = 0 Solving 5p + 2q = 0 Move all terms containing p to the left, all other terms to the right. Add '-2q' to each side of the equation. 5p + 2q + -2q = 0 + -2q Combine like terms: 2q + -2q = 0 5p + 0 = 0 + -2q 5p = 0 + -2q Remove the zero: 5p = -2q Divide each side by '5'. p = -0.4q Simplifying p = -0.4qSubproblem 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 = {-0.4q, -0.6666666667q}
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