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Simplifying x2 + 2xn + n2 = 0 Reorder the terms: 2nx + n2 + x2 = 0 Solving 2nx + n2 + x2 = 0 Solving for variable 'n'. Factor a trinomial. (n + x)(n + x) = 0Subproblem 1
Set the factor '(n + x)' equal to zero and attempt to solve: Simplifying n + x = 0 Solving n + x = 0 Move all terms containing n to the left, all other terms to the right. Add '-1x' to each side of the equation. n + x + -1x = 0 + -1x Combine like terms: x + -1x = 0 n + 0 = 0 + -1x n = 0 + -1x Remove the zero: n = -1x Simplifying n = -1xSubproblem 2
Set the factor '(n + x)' equal to zero and attempt to solve: Simplifying n + x = 0 Solving n + x = 0 Move all terms containing n to the left, all other terms to the right. Add '-1x' to each side of the equation. n + x + -1x = 0 + -1x Combine like terms: x + -1x = 0 n + 0 = 0 + -1x n = 0 + -1x Remove the zero: n = -1x Simplifying n = -1xSolution
n = {-1x, -1x}
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