(m+1)x^2+2(m-1)x+3(m-1)=0

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Solution for (m+1)x^2+2(m-1)x+3(m-1)=0 equation: 


Simplifying
(m + 1) * x2 + 2(m + -1) * x + 3(m + -1) = 0

Reorder the terms:
(1 + m) * x2 + 2(m + -1) * x + 3(m + -1) = 0

Reorder the terms for easier multiplication:
x2(1 + m) + 2(m + -1) * x + 3(m + -1) = 0
(1 * x2 + m * x2) + 2(m + -1) * x + 3(m + -1) = 0

Reorder the terms:
(mx2 + 1x2) + 2(m + -1) * x + 3(m + -1) = 0
(mx2 + 1x2) + 2(m + -1) * x + 3(m + -1) = 0

Reorder the terms:
mx2 + 1x2 + 2(-1 + m) * x + 3(m + -1) = 0

Reorder the terms for easier multiplication:
mx2 + 1x2 + 2x(-1 + m) + 3(m + -1) = 0
mx2 + 1x2 + (-1 * 2x + m * 2x) + 3(m + -1) = 0

Reorder the terms:
mx2 + 1x2 + (2mx + -2x) + 3(m + -1) = 0
mx2 + 1x2 + (2mx + -2x) + 3(m + -1) = 0

Reorder the terms:
mx2 + 1x2 + 2mx + -2x + 3(-1 + m) = 0
mx2 + 1x2 + 2mx + -2x + (-1 * 3 + m * 3) = 0
mx2 + 1x2 + 2mx + -2x + (-3 + 3m) = 0

Reorder the terms:
-3 + 3m + 2mx + mx2 + -2x + 1x2 = 0

Solving
-3 + 3m + 2mx + mx2 + -2x + 1x2 = 0

Solving for variable 'm'.

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

Add '3' to each side of the equation.
-3 + 3m + 2mx + mx2 + -2x + 3 + 1x2 = 0 + 3

Reorder the terms:
-3 + 3 + 3m + 2mx + mx2 + -2x + 1x2 = 0 + 3

Combine like terms: -3 + 3 = 0
0 + 3m + 2mx + mx2 + -2x + 1x2 = 0 + 3
3m + 2mx + mx2 + -2x + 1x2 = 0 + 3

Combine like terms: 0 + 3 = 3
3m + 2mx + mx2 + -2x + 1x2 = 3

Add '2x' to each side of the equation.
3m + 2mx + mx2 + -2x + 2x + 1x2 = 3 + 2x

Combine like terms: -2x + 2x = 0
3m + 2mx + mx2 + 0 + 1x2 = 3 + 2x
3m + 2mx + mx2 + 1x2 = 3 + 2x

Add '-1x2' to each side of the equation.
3m + 2mx + mx2 + 1x2 + -1x2 = 3 + 2x + -1x2

Combine like terms: 1x2 + -1x2 = 0
3m + 2mx + mx2 + 0 = 3 + 2x + -1x2
3m + 2mx + mx2 = 3 + 2x + -1x2

Reorder the terms:
-3 + 3m + 2mx + mx2 + -2x + x2 = 3 + 2x + -1x2 + -3 + -2x + x2

Reorder the terms:
-3 + 3m + 2mx + mx2 + -2x + x2 = 3 + -3 + 2x + -2x + -1x2 + x2

Combine like terms: 3 + -3 = 0
-3 + 3m + 2mx + mx2 + -2x + x2 = 0 + 2x + -2x + -1x2 + x2
-3 + 3m + 2mx + mx2 + -2x + x2 = 2x + -2x + -1x2 + x2

Combine like terms: 2x + -2x = 0
-3 + 3m + 2mx + mx2 + -2x + x2 = 0 + -1x2 + x2
-3 + 3m + 2mx + mx2 + -2x + x2 = -1x2 + x2

Combine like terms: -1x2 + x2 = 0
-3 + 3m + 2mx + mx2 + -2x + x2 = 0

The solution to this equation could not be determined.

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