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

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


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

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

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

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

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

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

Reorder the terms:
3mx2 + -1x2 + (-4mx + 2x) + 2m + -1 = 0
3mx2 + -1x2 + (-4mx + 2x) + 2m + -1 = 0

Reorder the terms:
-1 + 2m + -4mx + 3mx2 + 2x + -1x2 = 0

Solving
-1 + 2m + -4mx + 3mx2 + 2x + -1x2 = 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 + 2m + -4mx + 3mx2 + 2x + 1 + -1x2 = 0 + 1

Reorder the terms:
-1 + 1 + 2m + -4mx + 3mx2 + 2x + -1x2 = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 2m + -4mx + 3mx2 + 2x + -1x2 = 0 + 1
2m + -4mx + 3mx2 + 2x + -1x2 = 0 + 1

Combine like terms: 0 + 1 = 1
2m + -4mx + 3mx2 + 2x + -1x2 = 1

Add '-2x' to each side of the equation.
2m + -4mx + 3mx2 + 2x + -2x + -1x2 = 1 + -2x

Combine like terms: 2x + -2x = 0
2m + -4mx + 3mx2 + 0 + -1x2 = 1 + -2x
2m + -4mx + 3mx2 + -1x2 = 1 + -2x

Add 'x2' to each side of the equation.
2m + -4mx + 3mx2 + -1x2 + x2 = 1 + -2x + x2

Combine like terms: -1x2 + x2 = 0
2m + -4mx + 3mx2 + 0 = 1 + -2x + x2
2m + -4mx + 3mx2 = 1 + -2x + x2

Reorder the terms:
-1 + 2m + -4mx + 3mx2 + 2x + -1x2 = 1 + -2x + x2 + -1 + 2x + -1x2

Reorder the terms:
-1 + 2m + -4mx + 3mx2 + 2x + -1x2 = 1 + -1 + -2x + 2x + x2 + -1x2

Combine like terms: 1 + -1 = 0
-1 + 2m + -4mx + 3mx2 + 2x + -1x2 = 0 + -2x + 2x + x2 + -1x2
-1 + 2m + -4mx + 3mx2 + 2x + -1x2 = -2x + 2x + x2 + -1x2

Combine like terms: -2x + 2x = 0
-1 + 2m + -4mx + 3mx2 + 2x + -1x2 = 0 + x2 + -1x2
-1 + 2m + -4mx + 3mx2 + 2x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-1 + 2m + -4mx + 3mx2 + 2x + -1x2 = 0

The solution to this equation could not be determined.

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