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Simplifying n2 + -2ny + -195y2 = 0 Reorder the terms: -2ny + n2 + -195y2 = 0 Solving -2ny + n2 + -195y2 = 0 Solving for variable 'n'. Factor a trinomial. (n + -15y)(n + 13y) = 0Subproblem 1
Set the factor '(n + -15y)' equal to zero and attempt to solve: Simplifying n + -15y = 0 Solving n + -15y = 0 Move all terms containing n to the left, all other terms to the right. Add '15y' to each side of the equation. n + -15y + 15y = 0 + 15y Combine like terms: -15y + 15y = 0 n + 0 = 0 + 15y n = 0 + 15y Remove the zero: n = 15y Simplifying n = 15ySubproblem 2
Set the factor '(n + 13y)' equal to zero and attempt to solve: Simplifying n + 13y = 0 Solving n + 13y = 0 Move all terms containing n to the left, all other terms to the right. Add '-13y' to each side of the equation. n + 13y + -13y = 0 + -13y Combine like terms: 13y + -13y = 0 n + 0 = 0 + -13y n = 0 + -13y Remove the zero: n = -13y Simplifying n = -13ySolution
n = {15y, -13y}
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