x^2-((m+n)x)+2m+2=0

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Solution for x^2-((m+n)x)+2m+2=0 equation: 


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

Reorder the terms for easier multiplication:
x2 + -1(x(m + n)) + 2m + 2 = 0
x2 + -1((m * x + n * x)) + 2m + 2 = 0
x2 + -1((mx + nx)) + 2m + 2 = 0
x2 + (mx * -1 + nx * -1) + 2m + 2 = 0
x2 + (-1mx + -1nx) + 2m + 2 = 0

Reorder the terms:
2 + 2m + -1mx + -1nx + x2 = 0

Solving
2 + 2m + -1mx + -1nx + x2 = 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 + 2m + -1mx + -1nx + -2 + x2 = 0 + -2

Reorder the terms:
2 + -2 + 2m + -1mx + -1nx + x2 = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 2m + -1mx + -1nx + x2 = 0 + -2
2m + -1mx + -1nx + x2 = 0 + -2

Combine like terms: 0 + -2 = -2
2m + -1mx + -1nx + x2 = -2

Add 'nx' to each side of the equation.
2m + -1mx + -1nx + nx + x2 = -2 + nx

Combine like terms: -1nx + nx = 0
2m + -1mx + 0 + x2 = -2 + nx
2m + -1mx + x2 = -2 + nx

Add '-1x2' to each side of the equation.
2m + -1mx + x2 + -1x2 = -2 + nx + -1x2

Combine like terms: x2 + -1x2 = 0
2m + -1mx + 0 = -2 + nx + -1x2
2m + -1mx = -2 + nx + -1x2

Reorder the terms:
2 + 2m + -1mx + -1nx + x2 = -2 + nx + -1x2 + 2 + -1nx + x2

Reorder the terms:
2 + 2m + -1mx + -1nx + x2 = -2 + 2 + nx + -1nx + -1x2 + x2

Combine like terms: -2 + 2 = 0
2 + 2m + -1mx + -1nx + x2 = 0 + nx + -1nx + -1x2 + x2
2 + 2m + -1mx + -1nx + x2 = nx + -1nx + -1x2 + x2

Combine like terms: nx + -1nx = 0
2 + 2m + -1mx + -1nx + x2 = 0 + -1x2 + x2
2 + 2m + -1mx + -1nx + x2 = -1x2 + x2

Combine like terms: -1x2 + x2 = 0
2 + 2m + -1mx + -1nx + x2 = 0

The solution to this equation could not be determined.

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