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

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


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

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

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

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

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

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

Solving for variable 'm'.

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

Add '-4' to each side of the equation.
4 + -4mx + 2mx2 + -4 + -1x2 = 0 + -4

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

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

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

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

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

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

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

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

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

The solution to this equation could not be determined.

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