(2m+1)x^2-4mx+4m-2=0

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Solution for (2m+1)x^2-4mx+4m-2=0 equation:


Simplifying
(2m + 1) * x2 + -4mx + 4m + -2 = 0

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

Reorder the terms for easier multiplication:
x2(1 + 2m) + -4mx + 4m + -2 = 0
(1 * x2 + 2m * x2) + -4mx + 4m + -2 = 0

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

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

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

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

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

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

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

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

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

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

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

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

The solution to this equation could not be determined.

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