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Simplifying 4p2 + -28pq + 49q2 = 0 Reorder the terms: -28pq + 4p2 + 49q2 = 0 Solving -28pq + 4p2 + 49q2 = 0 Solving for variable 'p'. Factor a trinomial. (2p + -7q)(2p + -7q) = 0Subproblem 1
Set the factor '(2p + -7q)' equal to zero and attempt to solve: Simplifying 2p + -7q = 0 Solving 2p + -7q = 0 Move all terms containing p to the left, all other terms to the right. Add '7q' to each side of the equation. 2p + -7q + 7q = 0 + 7q Combine like terms: -7q + 7q = 0 2p + 0 = 0 + 7q 2p = 0 + 7q Remove the zero: 2p = 7q Divide each side by '2'. p = 3.5q Simplifying p = 3.5qSubproblem 2
Set the factor '(2p + -7q)' equal to zero and attempt to solve: Simplifying 2p + -7q = 0 Solving 2p + -7q = 0 Move all terms containing p to the left, all other terms to the right. Add '7q' to each side of the equation. 2p + -7q + 7q = 0 + 7q Combine like terms: -7q + 7q = 0 2p + 0 = 0 + 7q 2p = 0 + 7q Remove the zero: 2p = 7q Divide each side by '2'. p = 3.5q Simplifying p = 3.5qSolution
p = {3.5q, 3.5q}
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