x^2+2nx+n^2=0

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Solution for x^2+2nx+n^2=0 equation:


Simplifying
x2 + 2nx + 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) = 0

Subproblem 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 = -1x

Subproblem 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 = -1x

Solution

n = {-1x, -1x}

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