6x^2+(m-1)x+2-4m=0

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Solution for 6x^2+(m-1)x+2-4m=0 equation: 


Simplifying
6x2 + (m + -1) * x + 2 + -4m = 0

Reorder the terms:
6x2 + (-1 + m) * x + 2 + -4m = 0

Reorder the terms for easier multiplication:
6x2 + x(-1 + m) + 2 + -4m = 0
6x2 + (-1 * x + m * x) + 2 + -4m = 0

Reorder the terms:
6x2 + (mx + -1x) + 2 + -4m = 0
6x2 + (mx + -1x) + 2 + -4m = 0

Reorder the terms:
2 + -4m + mx + -1x + 6x2 = 0

Solving
2 + -4m + mx + -1x + 6x2 = 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 + -4m + mx + -1x + -2 + 6x2 = 0 + -2

Reorder the terms:
2 + -2 + -4m + mx + -1x + 6x2 = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -4m + mx + -1x + 6x2 = 0 + -2
-4m + mx + -1x + 6x2 = 0 + -2

Combine like terms: 0 + -2 = -2
-4m + mx + -1x + 6x2 = -2

Add 'x' to each side of the equation.
-4m + mx + -1x + x + 6x2 = -2 + x

Combine like terms: -1x + x = 0
-4m + mx + 0 + 6x2 = -2 + x
-4m + mx + 6x2 = -2 + x

Add '-6x2' to each side of the equation.
-4m + mx + 6x2 + -6x2 = -2 + x + -6x2

Combine like terms: 6x2 + -6x2 = 0
-4m + mx + 0 = -2 + x + -6x2
-4m + mx = -2 + x + -6x2

Reorder the terms:
2 + -4m + mx + -1x + 6x2 = -2 + x + -6x2 + 2 + -1x + 6x2

Reorder the terms:
2 + -4m + mx + -1x + 6x2 = -2 + 2 + x + -1x + -6x2 + 6x2

Combine like terms: -2 + 2 = 0
2 + -4m + mx + -1x + 6x2 = 0 + x + -1x + -6x2 + 6x2
2 + -4m + mx + -1x + 6x2 = x + -1x + -6x2 + 6x2

Combine like terms: x + -1x = 0
2 + -4m + mx + -1x + 6x2 = 0 + -6x2 + 6x2
2 + -4m + mx + -1x + 6x2 = -6x2 + 6x2

Combine like terms: -6x2 + 6x2 = 0
2 + -4m + mx + -1x + 6x2 = 0

The solution to this equation could not be determined.

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