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Simplifying P2 + 2PQ + -24Q2 = 0 Reorder the terms: 2PQ + P2 + -24Q2 = 0 Solving 2PQ + P2 + -24Q2 = 0 Solving for variable 'P'. Factor a trinomial. (P + -4Q)(P + 6Q) = 0Subproblem 1
Set the factor '(P + -4Q)' equal to zero and attempt to solve: Simplifying P + -4Q = 0 Solving P + -4Q = 0 Move all terms containing P to the left, all other terms to the right. Add '4Q' to each side of the equation. P + -4Q + 4Q = 0 + 4Q Combine like terms: -4Q + 4Q = 0 P + 0 = 0 + 4Q P = 0 + 4Q Remove the zero: P = 4Q Simplifying P = 4QSubproblem 2
Set the factor '(P + 6Q)' equal to zero and attempt to solve: Simplifying P + 6Q = 0 Solving P + 6Q = 0 Move all terms containing P to the left, all other terms to the right. Add '-6Q' to each side of the equation. P + 6Q + -6Q = 0 + -6Q Combine like terms: 6Q + -6Q = 0 P + 0 = 0 + -6Q P = 0 + -6Q Remove the zero: P = -6Q Simplifying P = -6QSolution
P = {4Q, -6Q}
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