(2m-3)x^2-4mx+2m-1=0

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Solution for (2m-3)x^2-4mx+2m-1=0 equation:


Simplifying
(2m + -3) * x2 + -4mx + 2m + -1 = 0

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

Reorder the terms for easier multiplication:
x2(-3 + 2m) + -4mx + 2m + -1 = 0
(-3 * x2 + 2m * x2) + -4mx + 2m + -1 = 0

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

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

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

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

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

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

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

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

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

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

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

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

The solution to this equation could not be determined.

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