(2m-3)x^2+(5m-1)x+(3m-2)=0

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Solution for (2m-3)x^2+(5m-1)x+(3m-2)=0 equation: 


Simplifying
(2m + -3) * x2 + (5m + -1) * x + (3m + -2) = 0

Reorder the terms:
(-3 + 2m) * x2 + (5m + -1) * x + (3m + -2) = 0

Reorder the terms for easier multiplication:
x2(-3 + 2m) + (5m + -1) * x + (3m + -2) = 0
(-3 * x2 + 2m * x2) + (5m + -1) * x + (3m + -2) = 0

Reorder the terms:
(2mx2 + -3x2) + (5m + -1) * x + (3m + -2) = 0
(2mx2 + -3x2) + (5m + -1) * x + (3m + -2) = 0

Reorder the terms:
2mx2 + -3x2 + (-1 + 5m) * x + (3m + -2) = 0

Reorder the terms for easier multiplication:
2mx2 + -3x2 + x(-1 + 5m) + (3m + -2) = 0
2mx2 + -3x2 + (-1 * x + 5m * x) + (3m + -2) = 0

Reorder the terms:
2mx2 + -3x2 + (5mx + -1x) + (3m + -2) = 0
2mx2 + -3x2 + (5mx + -1x) + (3m + -2) = 0

Reorder the terms:
2mx2 + -3x2 + 5mx + -1x + (-2 + 3m) = 0

Remove parenthesis around (-2 + 3m)
2mx2 + -3x2 + 5mx + -1x + -2 + 3m = 0

Reorder the terms:
-2 + 3m + 5mx + 2mx2 + -1x + -3x2 = 0

Solving
-2 + 3m + 5mx + 2mx2 + -1x + -3x2 = 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 + 3m + 5mx + 2mx2 + -1x + 2 + -3x2 = 0 + 2

Reorder the terms:
-2 + 2 + 3m + 5mx + 2mx2 + -1x + -3x2 = 0 + 2

Combine like terms: -2 + 2 = 0
0 + 3m + 5mx + 2mx2 + -1x + -3x2 = 0 + 2
3m + 5mx + 2mx2 + -1x + -3x2 = 0 + 2

Combine like terms: 0 + 2 = 2
3m + 5mx + 2mx2 + -1x + -3x2 = 2

Add 'x' to each side of the equation.
3m + 5mx + 2mx2 + -1x + x + -3x2 = 2 + x

Combine like terms: -1x + x = 0
3m + 5mx + 2mx2 + 0 + -3x2 = 2 + x
3m + 5mx + 2mx2 + -3x2 = 2 + x

Add '3x2' to each side of the equation.
3m + 5mx + 2mx2 + -3x2 + 3x2 = 2 + x + 3x2

Combine like terms: -3x2 + 3x2 = 0
3m + 5mx + 2mx2 + 0 = 2 + x + 3x2
3m + 5mx + 2mx2 = 2 + x + 3x2

Reorder the terms:
-2 + 3m + 5mx + 2mx2 + -1x + -3x2 = 2 + x + 3x2 + -2 + -1x + -3x2

Reorder the terms:
-2 + 3m + 5mx + 2mx2 + -1x + -3x2 = 2 + -2 + x + -1x + 3x2 + -3x2

Combine like terms: 2 + -2 = 0
-2 + 3m + 5mx + 2mx2 + -1x + -3x2 = 0 + x + -1x + 3x2 + -3x2
-2 + 3m + 5mx + 2mx2 + -1x + -3x2 = x + -1x + 3x2 + -3x2

Combine like terms: x + -1x = 0
-2 + 3m + 5mx + 2mx2 + -1x + -3x2 = 0 + 3x2 + -3x2
-2 + 3m + 5mx + 2mx2 + -1x + -3x2 = 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
-2 + 3m + 5mx + 2mx2 + -1x + -3x2 = 0

The solution to this equation could not be determined.

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