3mx+(m+2)y+3m+1=0

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Solution for 3mx+(m+2)y+3m+1=0 equation:


Simplifying
3mx + (m + 2) * y + 3m + 1 = 0

Reorder the terms:
3mx + (2 + m) * y + 3m + 1 = 0

Reorder the terms for easier multiplication:
3mx + y(2 + m) + 3m + 1 = 0
3mx + (2 * y + m * y) + 3m + 1 = 0

Reorder the terms:
3mx + (my + 2y) + 3m + 1 = 0
3mx + (my + 2y) + 3m + 1 = 0

Reorder the terms:
1 + 3m + 3mx + my + 2y = 0

Solving
1 + 3m + 3mx + my + 2y = 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 + 3m + 3mx + my + -1 + 2y = 0 + -1

Reorder the terms:
1 + -1 + 3m + 3mx + my + 2y = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 3m + 3mx + my + 2y = 0 + -1
3m + 3mx + my + 2y = 0 + -1

Combine like terms: 0 + -1 = -1
3m + 3mx + my + 2y = -1

Add '-2y' to each side of the equation.
3m + 3mx + my + 2y + -2y = -1 + -2y

Combine like terms: 2y + -2y = 0
3m + 3mx + my + 0 = -1 + -2y
3m + 3mx + my = -1 + -2y

Reorder the terms:
1 + 3m + 3mx + my + 2y = -1 + -2y + 1 + 2y

Reorder the terms:
1 + 3m + 3mx + my + 2y = -1 + 1 + -2y + 2y

Combine like terms: -1 + 1 = 0
1 + 3m + 3mx + my + 2y = 0 + -2y + 2y
1 + 3m + 3mx + my + 2y = -2y + 2y

Combine like terms: -2y + 2y = 0
1 + 3m + 3mx + my + 2y = 0

The solution to this equation could not be determined.

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