(m-1)x^2-5x+3mx-6=0

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Solution for (m-1)x^2-5x+3mx-6=0 equation:


Simplifying
(m + -1) * x2 + -5x + 3mx + -6 = 0

Reorder the terms:
(-1 + m) * x2 + -5x + 3mx + -6 = 0

Reorder the terms for easier multiplication:
x2(-1 + m) + -5x + 3mx + -6 = 0
(-1 * x2 + m * x2) + -5x + 3mx + -6 = 0

Reorder the terms:
(mx2 + -1x2) + -5x + 3mx + -6 = 0
(mx2 + -1x2) + -5x + 3mx + -6 = 0

Reorder the terms:
-6 + 3mx + mx2 + -5x + -1x2 = 0

Solving
-6 + 3mx + mx2 + -5x + -1x2 = 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 + 3mx + mx2 + -5x + 6 + -1x2 = 0 + 6

Reorder the terms:
-6 + 6 + 3mx + mx2 + -5x + -1x2 = 0 + 6

Combine like terms: -6 + 6 = 0
0 + 3mx + mx2 + -5x + -1x2 = 0 + 6
3mx + mx2 + -5x + -1x2 = 0 + 6

Combine like terms: 0 + 6 = 6
3mx + mx2 + -5x + -1x2 = 6

Add '5x' to each side of the equation.
3mx + mx2 + -5x + 5x + -1x2 = 6 + 5x

Combine like terms: -5x + 5x = 0
3mx + mx2 + 0 + -1x2 = 6 + 5x
3mx + mx2 + -1x2 = 6 + 5x

Add 'x2' to each side of the equation.
3mx + mx2 + -1x2 + x2 = 6 + 5x + x2

Combine like terms: -1x2 + x2 = 0
3mx + mx2 + 0 = 6 + 5x + x2
3mx + mx2 = 6 + 5x + x2

Reorder the terms:
-6 + 3mx + mx2 + -5x + -1x2 = 6 + 5x + x2 + -6 + -5x + -1x2

Reorder the terms:
-6 + 3mx + mx2 + -5x + -1x2 = 6 + -6 + 5x + -5x + x2 + -1x2

Combine like terms: 6 + -6 = 0
-6 + 3mx + mx2 + -5x + -1x2 = 0 + 5x + -5x + x2 + -1x2
-6 + 3mx + mx2 + -5x + -1x2 = 5x + -5x + x2 + -1x2

Combine like terms: 5x + -5x = 0
-6 + 3mx + mx2 + -5x + -1x2 = 0 + x2 + -1x2
-6 + 3mx + mx2 + -5x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-6 + 3mx + mx2 + -5x + -1x2 = 0

The solution to this equation could not be determined.

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