mx^2-(3m-4)x-6(m-1)=0

Solution for mx^2-(3m-4)x-6(m-1)=0 equation:

Simplifying
mx2 + -1(3m + -4) * x + -6(m + -1) = 0

Reorder the terms:
mx2 + -1(-4 + 3m) * x + -6(m + -1) = 0

Reorder the terms for easier multiplication:
mx2 + -1x(-4 + 3m) + -6(m + -1) = 0
mx2 + (-4 * -1x + 3m * -1x) + -6(m + -1) = 0

Reorder the terms:
mx2 + (-3mx + 4x) + -6(m + -1) = 0
mx2 + (-3mx + 4x) + -6(m + -1) = 0

Reorder the terms:
mx2 + -3mx + 4x + -6(-1 + m) = 0
mx2 + -3mx + 4x + (-1 * -6 + m * -6) = 0
mx2 + -3mx + 4x + (6 + -6m) = 0

Reorder the terms:
6 + -6m + -3mx + mx2 + 4x = 0

Solving
6 + -6m + -3mx + mx2 + 4x = 0

Solving for variable 'm'.

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

Add '-6' to each side of the equation.
6 + -6m + -3mx + mx2 + -6 + 4x = 0 + -6

Reorder the terms:
6 + -6 + -6m + -3mx + mx2 + 4x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -6m + -3mx + mx2 + 4x = 0 + -6
-6m + -3mx + mx2 + 4x = 0 + -6

Combine like terms: 0 + -6 = -6
-6m + -3mx + mx2 + 4x = -6

Add '-4x' to each side of the equation.
-6m + -3mx + mx2 + 4x + -4x = -6 + -4x

Combine like terms: 4x + -4x = 0
-6m + -3mx + mx2 + 0 = -6 + -4x
-6m + -3mx + mx2 = -6 + -4x

Reorder the terms:
6 + -6m + -3mx + mx2 + 4x = -6 + -4x + 6 + 4x

Reorder the terms:
6 + -6m + -3mx + mx2 + 4x = -6 + 6 + -4x + 4x

Combine like terms: -6 + 6 = 0
6 + -6m + -3mx + mx2 + 4x = 0 + -4x + 4x
6 + -6m + -3mx + mx2 + 4x = -4x + 4x

Combine like terms: -4x + 4x = 0
6 + -6m + -3mx + mx2 + 4x = 0

The solution to this equation could not be determined.