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Simplifying (-2p + -5q)(-2p + -5q) = 0 Multiply (-2p + -5q) * (-2p + -5q) (-2p * (-2p + -5q) + -5q * (-2p + -5q)) = 0 ((-2p * -2p + -5q * -2p) + -5q * (-2p + -5q)) = 0 Reorder the terms: ((10pq + 4p2) + -5q * (-2p + -5q)) = 0 ((10pq + 4p2) + -5q * (-2p + -5q)) = 0 (10pq + 4p2 + (-2p * -5q + -5q * -5q)) = 0 (10pq + 4p2 + (10pq + 25q2)) = 0 Reorder the terms: (10pq + 10pq + 4p2 + 25q2) = 0 Combine like terms: 10pq + 10pq = 20pq (20pq + 4p2 + 25q2) = 0 Solving 20pq + 4p2 + 25q2 = 0 Solving for variable 'p'. Factor a trinomial. (2p + 5q)(2p + 5q) = 0Subproblem 1
Set the factor '(2p + 5q)' equal to zero and attempt to solve: Simplifying 2p + 5q = 0 Solving 2p + 5q = 0 Move all terms containing p to the left, all other terms to the right. Add '-5q' to each side of the equation. 2p + 5q + -5q = 0 + -5q Combine like terms: 5q + -5q = 0 2p + 0 = 0 + -5q 2p = 0 + -5q Remove the zero: 2p = -5q Divide each side by '2'. p = -2.5q Simplifying p = -2.5qSubproblem 2
Set the factor '(2p + 5q)' equal to zero and attempt to solve: Simplifying 2p + 5q = 0 Solving 2p + 5q = 0 Move all terms containing p to the left, all other terms to the right. Add '-5q' to each side of the equation. 2p + 5q + -5q = 0 + -5q Combine like terms: 5q + -5q = 0 2p + 0 = 0 + -5q 2p = 0 + -5q Remove the zero: 2p = -5q Divide each side by '2'. p = -2.5q Simplifying p = -2.5qSolution
p = {-2.5q, -2.5q}
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