5mn^2-10m+n^2-2=0

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Solution for 5mn^2-10m+n^2-2=0 equation:


Simplifying
5mn2 + -10m + n2 + -2 = 0

Reorder the terms:
-2 + -10m + 5mn2 + n2 = 0

Solving
-2 + -10m + 5mn2 + n2 = 0

Solving for variable 'm'.

Move all terms containing m to the left, all other terms to the right.

Add '2' to each side of the equation.
-2 + -10m + 5mn2 + 2 + n2 = 0 + 2

Reorder the terms:
-2 + 2 + -10m + 5mn2 + n2 = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -10m + 5mn2 + n2 = 0 + 2
-10m + 5mn2 + n2 = 0 + 2

Combine like terms: 0 + 2 = 2
-10m + 5mn2 + n2 = 2

Add '-1n2' to each side of the equation.
-10m + 5mn2 + n2 + -1n2 = 2 + -1n2

Combine like terms: n2 + -1n2 = 0
-10m + 5mn2 + 0 = 2 + -1n2
-10m + 5mn2 = 2 + -1n2

Reorder the terms:
-2 + -10m + 5mn2 + n2 = 2 + -1n2 + -2 + n2

Reorder the terms:
-2 + -10m + 5mn2 + n2 = 2 + -2 + -1n2 + n2

Combine like terms: 2 + -2 = 0
-2 + -10m + 5mn2 + n2 = 0 + -1n2 + n2
-2 + -10m + 5mn2 + n2 = -1n2 + n2

Combine like terms: -1n2 + n2 = 0
-2 + -10m + 5mn2 + n2 = 0

The solution to this equation could not be determined.

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