(M+2)x+(m^2-1)y+m^2+M+1=0

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Solution for (M+2)x+(m^2-1)y+m^2+M+1=0 equation:


Simplifying
(M + 2) * x + (m2 + -1) * y + m2 + M + 1 = 0

Reorder the terms:
(2 + M) * x + (m2 + -1) * y + m2 + M + 1 = 0

Reorder the terms for easier multiplication:
x(2 + M) + (m2 + -1) * y + m2 + M + 1 = 0
(2 * x + M * x) + (m2 + -1) * y + m2 + M + 1 = 0
(2x + xM) + (m2 + -1) * y + m2 + M + 1 = 0

Reorder the terms:
2x + xM + (-1 + m2) * y + m2 + M + 1 = 0

Reorder the terms for easier multiplication:
2x + xM + y(-1 + m2) + m2 + M + 1 = 0
2x + xM + (-1 * y + m2 * y) + m2 + M + 1 = 0

Reorder the terms:
2x + xM + (m2y + -1y) + m2 + M + 1 = 0
2x + xM + (m2y + -1y) + m2 + M + 1 = 0

Reorder the terms:
1 + M + m2 + m2y + 2x + xM + -1y = 0

Solving
1 + M + m2 + m2y + 2x + xM + -1y = 0

Solving for variable 'M'.

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

Add '-1' to each side of the equation.
1 + M + m2 + m2y + 2x + xM + -1 + -1y = 0 + -1

Reorder the terms:
1 + -1 + M + m2 + m2y + 2x + xM + -1y = 0 + -1

Combine like terms: 1 + -1 = 0
0 + M + m2 + m2y + 2x + xM + -1y = 0 + -1
M + m2 + m2y + 2x + xM + -1y = 0 + -1

Combine like terms: 0 + -1 = -1
M + m2 + m2y + 2x + xM + -1y = -1

Add '-1m2' to each side of the equation.
M + m2 + m2y + 2x + xM + -1m2 + -1y = -1 + -1m2

Reorder the terms:
M + m2 + -1m2 + m2y + 2x + xM + -1y = -1 + -1m2

Combine like terms: m2 + -1m2 = 0
M + 0 + m2y + 2x + xM + -1y = -1 + -1m2
M + m2y + 2x + xM + -1y = -1 + -1m2

Add '-1m2y' to each side of the equation.
M + m2y + 2x + xM + -1m2y + -1y = -1 + -1m2 + -1m2y

Reorder the terms:
M + m2y + -1m2y + 2x + xM + -1y = -1 + -1m2 + -1m2y

Combine like terms: m2y + -1m2y = 0
M + 0 + 2x + xM + -1y = -1 + -1m2 + -1m2y
M + 2x + xM + -1y = -1 + -1m2 + -1m2y

Add '-2x' to each side of the equation.
M + 2x + xM + -2x + -1y = -1 + -1m2 + -1m2y + -2x

Reorder the terms:
M + 2x + -2x + xM + -1y = -1 + -1m2 + -1m2y + -2x

Combine like terms: 2x + -2x = 0
M + 0 + xM + -1y = -1 + -1m2 + -1m2y + -2x
M + xM + -1y = -1 + -1m2 + -1m2y + -2x

Add 'y' to each side of the equation.
M + xM + -1y + y = -1 + -1m2 + -1m2y + -2x + y

Combine like terms: -1y + y = 0
M + xM + 0 = -1 + -1m2 + -1m2y + -2x + y
M + xM = -1 + -1m2 + -1m2y + -2x + y

Reorder the terms:
1 + M + m2 + m2y + 2x + xM + -1y = -1 + -1m2 + -1m2y + -2x + y + 1 + m2 + m2y + 2x + -1y

Reorder the terms:
1 + M + m2 + m2y + 2x + xM + -1y = -1 + 1 + -1m2 + m2 + -1m2y + m2y + -2x + 2x + y + -1y

Combine like terms: -1 + 1 = 0
1 + M + m2 + m2y + 2x + xM + -1y = 0 + -1m2 + m2 + -1m2y + m2y + -2x + 2x + y + -1y
1 + M + m2 + m2y + 2x + xM + -1y = -1m2 + m2 + -1m2y + m2y + -2x + 2x + y + -1y

Combine like terms: -1m2 + m2 = 0
1 + M + m2 + m2y + 2x + xM + -1y = 0 + -1m2y + m2y + -2x + 2x + y + -1y
1 + M + m2 + m2y + 2x + xM + -1y = -1m2y + m2y + -2x + 2x + y + -1y

Combine like terms: -1m2y + m2y = 0
1 + M + m2 + m2y + 2x + xM + -1y = 0 + -2x + 2x + y + -1y
1 + M + m2 + m2y + 2x + xM + -1y = -2x + 2x + y + -1y

Combine like terms: -2x + 2x = 0
1 + M + m2 + m2y + 2x + xM + -1y = 0 + y + -1y
1 + M + m2 + m2y + 2x + xM + -1y = y + -1y

Combine like terms: y + -1y = 0
1 + M + m2 + m2y + 2x + xM + -1y = 0

The solution to this equation could not be determined.

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