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

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


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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

The solution to this equation could not be determined.

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