k^2+2km+m^2=0

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Solution for k^2+2km+m^2=0 equation:


Simplifying
k2 + 2km + m2 = 0

Reorder the terms:
2km + k2 + m2 = 0

Solving
2km + k2 + m2 = 0

Solving for variable 'k'.

Factor a trinomial.
(k + m)(k + m) = 0

Subproblem 1

Set the factor '(k + m)' equal to zero and attempt to solve: Simplifying k + m = 0 Solving k + m = 0 Move all terms containing k to the left, all other terms to the right. Add '-1m' to each side of the equation. k + m + -1m = 0 + -1m Combine like terms: m + -1m = 0 k + 0 = 0 + -1m k = 0 + -1m Remove the zero: k = -1m Simplifying k = -1m

Subproblem 2

Set the factor '(k + m)' equal to zero and attempt to solve: Simplifying k + m = 0 Solving k + m = 0 Move all terms containing k to the left, all other terms to the right. Add '-1m' to each side of the equation. k + m + -1m = 0 + -1m Combine like terms: m + -1m = 0 k + 0 = 0 + -1m k = 0 + -1m Remove the zero: k = -1m Simplifying k = -1m

Solution

k = {-1m, -1m}

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