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

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


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

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

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

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

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

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

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

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

Remove parenthesis around (-1 + 2m)
2mx2 + -1x2 + 3mx + 1x + -1 + 2m = 0

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

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

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

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

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

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

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

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

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

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

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

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

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

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

The solution to this equation could not be determined.

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