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

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


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

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

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

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

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

Reorder the terms for easier multiplication:
3mx2 + -2x2 + x(-1 + 2m) = 4
3mx2 + -2x2 + (-1 * x + 2m * x) = 4

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

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

Solving
2mx + 3mx2 + -1x + -2x2 = 4

Solving for variable 'm'.

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

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

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

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

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

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

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

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

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

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

The solution to this equation could not be determined.

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