(x^2+2)(m-n)+2(m-n)=

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Solution for (x^2+2)(m-n)+2(m-n)= equation: 


Simplifying
(x2 + 2)(m + -1n) + 2(m + -1n) = 0

Reorder the terms:
(2 + x2)(m + -1n) + 2(m + -1n) = 0

Multiply (2 + x2) * (m + -1n)
(2(m + -1n) + x2(m + -1n)) + 2(m + -1n) = 0
((m * 2 + -1n * 2) + x2(m + -1n)) + 2(m + -1n) = 0
((2m + -2n) + x2(m + -1n)) + 2(m + -1n) = 0
(2m + -2n + (m * x2 + -1n * x2)) + 2(m + -1n) = 0
(2m + -2n + (mx2 + -1nx2)) + 2(m + -1n) = 0

Reorder the terms:
(2m + mx2 + -2n + -1nx2) + 2(m + -1n) = 0
(2m + mx2 + -2n + -1nx2) + 2(m + -1n) = 0
2m + mx2 + -2n + -1nx2 + (m * 2 + -1n * 2) = 0
2m + mx2 + -2n + -1nx2 + (2m + -2n) = 0

Reorder the terms:
2m + 2m + mx2 + -2n + -2n + -1nx2 = 0

Combine like terms: 2m + 2m = 4m
4m + mx2 + -2n + -2n + -1nx2 = 0

Combine like terms: -2n + -2n = -4n
4m + mx2 + -4n + -1nx2 = 0

Solving
4m + mx2 + -4n + -1nx2 = 0

Solving for variable 'm'.

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

Add '4n' to each side of the equation.
4m + mx2 + -4n + 4n + -1nx2 = 0 + 4n

Combine like terms: -4n + 4n = 0
4m + mx2 + 0 + -1nx2 = 0 + 4n
4m + mx2 + -1nx2 = 0 + 4n
Remove the zero:
4m + mx2 + -1nx2 = 4n

Add 'nx2' to each side of the equation.
4m + mx2 + -1nx2 + nx2 = 4n + nx2

Combine like terms: -1nx2 + nx2 = 0
4m + mx2 + 0 = 4n + nx2
4m + mx2 = 4n + nx2

Reorder the terms:
4m + mx2 + -4n + -1nx2 = 4n + -4n + nx2 + -1nx2

Combine like terms: 4n + -4n = 0
4m + mx2 + -4n + -1nx2 = 0 + nx2 + -1nx2
4m + mx2 + -4n + -1nx2 = nx2 + -1nx2

Combine like terms: nx2 + -1nx2 = 0
4m + mx2 + -4n + -1nx2 = 0

The solution to this equation could not be determined.

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