(2m-1)x^2+(3m-4)x+3m+11=0

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Solution for (2m-1)x^2+(3m-4)x+3m+11=0 equation: 


Simplifying
(2m + -1) * x2 + (3m + -4) * x + 3m + 11 = 0

Reorder the terms:
(-1 + 2m) * x2 + (3m + -4) * x + 3m + 11 = 0

Reorder the terms for easier multiplication:
x2(-1 + 2m) + (3m + -4) * x + 3m + 11 = 0
(-1 * x2 + 2m * x2) + (3m + -4) * x + 3m + 11 = 0

Reorder the terms:
(2mx2 + -1x2) + (3m + -4) * x + 3m + 11 = 0
(2mx2 + -1x2) + (3m + -4) * x + 3m + 11 = 0

Reorder the terms:
2mx2 + -1x2 + (-4 + 3m) * x + 3m + 11 = 0

Reorder the terms for easier multiplication:
2mx2 + -1x2 + x(-4 + 3m) + 3m + 11 = 0
2mx2 + -1x2 + (-4 * x + 3m * x) + 3m + 11 = 0

Reorder the terms:
2mx2 + -1x2 + (3mx + -4x) + 3m + 11 = 0
2mx2 + -1x2 + (3mx + -4x) + 3m + 11 = 0

Reorder the terms:
11 + 3m + 3mx + 2mx2 + -4x + -1x2 = 0

Solving
11 + 3m + 3mx + 2mx2 + -4x + -1x2 = 0

Solving for variable 'm'.

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

Add '-11' to each side of the equation.
11 + 3m + 3mx + 2mx2 + -4x + -11 + -1x2 = 0 + -11

Reorder the terms:
11 + -11 + 3m + 3mx + 2mx2 + -4x + -1x2 = 0 + -11

Combine like terms: 11 + -11 = 0
0 + 3m + 3mx + 2mx2 + -4x + -1x2 = 0 + -11
3m + 3mx + 2mx2 + -4x + -1x2 = 0 + -11

Combine like terms: 0 + -11 = -11
3m + 3mx + 2mx2 + -4x + -1x2 = -11

Add '4x' to each side of the equation.
3m + 3mx + 2mx2 + -4x + 4x + -1x2 = -11 + 4x

Combine like terms: -4x + 4x = 0
3m + 3mx + 2mx2 + 0 + -1x2 = -11 + 4x
3m + 3mx + 2mx2 + -1x2 = -11 + 4x

Add 'x2' to each side of the equation.
3m + 3mx + 2mx2 + -1x2 + x2 = -11 + 4x + x2

Combine like terms: -1x2 + x2 = 0
3m + 3mx + 2mx2 + 0 = -11 + 4x + x2
3m + 3mx + 2mx2 = -11 + 4x + x2

Reorder the terms:
11 + 3m + 3mx + 2mx2 + -4x + -1x2 = -11 + 4x + x2 + 11 + -4x + -1x2

Reorder the terms:
11 + 3m + 3mx + 2mx2 + -4x + -1x2 = -11 + 11 + 4x + -4x + x2 + -1x2

Combine like terms: -11 + 11 = 0
11 + 3m + 3mx + 2mx2 + -4x + -1x2 = 0 + 4x + -4x + x2 + -1x2
11 + 3m + 3mx + 2mx2 + -4x + -1x2 = 4x + -4x + x2 + -1x2

Combine like terms: 4x + -4x = 0
11 + 3m + 3mx + 2mx2 + -4x + -1x2 = 0 + x2 + -1x2
11 + 3m + 3mx + 2mx2 + -4x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
11 + 3m + 3mx + 2mx2 + -4x + -1x2 = 0

The solution to this equation could not be determined.

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