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Simplifying 8n2 + -9np + -14p2 = 0 Reorder the terms: -9np + 8n2 + -14p2 = 0 Solving -9np + 8n2 + -14p2 = 0 Solving for variable 'n'. Factor a trinomial. (n + -2p)(8n + 7p) = 0Subproblem 1
Set the factor '(n + -2p)' equal to zero and attempt to solve: Simplifying n + -2p = 0 Solving n + -2p = 0 Move all terms containing n to the left, all other terms to the right. Add '2p' to each side of the equation. n + -2p + 2p = 0 + 2p Combine like terms: -2p + 2p = 0 n + 0 = 0 + 2p n = 0 + 2p Remove the zero: n = 2p Simplifying n = 2pSubproblem 2
Set the factor '(8n + 7p)' equal to zero and attempt to solve: Simplifying 8n + 7p = 0 Solving 8n + 7p = 0 Move all terms containing n to the left, all other terms to the right. Add '-7p' to each side of the equation. 8n + 7p + -7p = 0 + -7p Combine like terms: 7p + -7p = 0 8n + 0 = 0 + -7p 8n = 0 + -7p Remove the zero: 8n = -7p Divide each side by '8'. n = -0.875p Simplifying n = -0.875pSolution
n = {2p, -0.875p}
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