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Simplifying n2 + -11np + -80p2 = 0 Reorder the terms: -11np + n2 + -80p2 = 0 Solving -11np + n2 + -80p2 = 0 Solving for variable 'n'. Factor a trinomial. (n + -16p)(n + 5p) = 0Subproblem 1
Set the factor '(n + -16p)' equal to zero and attempt to solve: Simplifying n + -16p = 0 Solving n + -16p = 0 Move all terms containing n to the left, all other terms to the right. Add '16p' to each side of the equation. n + -16p + 16p = 0 + 16p Combine like terms: -16p + 16p = 0 n + 0 = 0 + 16p n = 0 + 16p Remove the zero: n = 16p Simplifying n = 16pSubproblem 2
Set the factor '(n + 5p)' equal to zero and attempt to solve: Simplifying n + 5p = 0 Solving n + 5p = 0 Move all terms containing n to the left, all other terms to the right. Add '-5p' to each side of the equation. n + 5p + -5p = 0 + -5p Combine like terms: 5p + -5p = 0 n + 0 = 0 + -5p n = 0 + -5p Remove the zero: n = -5p Simplifying n = -5pSolution
n = {16p, -5p}
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