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Simplifying 16p2 + -40pq + 25q2 = 0 Reorder the terms: -40pq + 16p2 + 25q2 = 0 Solving -40pq + 16p2 + 25q2 = 0 Solving for variable 'p'. Factor a trinomial. (4p + -5q)(4p + -5q) = 0Subproblem 1
Set the factor '(4p + -5q)' equal to zero and attempt to solve: Simplifying 4p + -5q = 0 Solving 4p + -5q = 0 Move all terms containing p to the left, all other terms to the right. Add '5q' to each side of the equation. 4p + -5q + 5q = 0 + 5q Combine like terms: -5q + 5q = 0 4p + 0 = 0 + 5q 4p = 0 + 5q Remove the zero: 4p = 5q Divide each side by '4'. p = 1.25q Simplifying p = 1.25qSubproblem 2
Set the factor '(4p + -5q)' equal to zero and attempt to solve: Simplifying 4p + -5q = 0 Solving 4p + -5q = 0 Move all terms containing p to the left, all other terms to the right. Add '5q' to each side of the equation. 4p + -5q + 5q = 0 + 5q Combine like terms: -5q + 5q = 0 4p + 0 = 0 + 5q 4p = 0 + 5q Remove the zero: 4p = 5q Divide each side by '4'. p = 1.25q Simplifying p = 1.25qSolution
p = {1.25q, 1.25q}
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