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

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


Simplifying
(m + -1) * x2 + -2(m + -1) * x + 2m + -5 = 0

Reorder the terms:
(-1 + m) * x2 + -2(m + -1) * x + 2m + -5 = 0

Reorder the terms for easier multiplication:
x2(-1 + m) + -2(m + -1) * x + 2m + -5 = 0
(-1 * x2 + m * x2) + -2(m + -1) * x + 2m + -5 = 0

Reorder the terms:
(mx2 + -1x2) + -2(m + -1) * x + 2m + -5 = 0
(mx2 + -1x2) + -2(m + -1) * x + 2m + -5 = 0

Reorder the terms:
mx2 + -1x2 + -2(-1 + m) * x + 2m + -5 = 0

Reorder the terms for easier multiplication:
mx2 + -1x2 + -2x(-1 + m) + 2m + -5 = 0
mx2 + -1x2 + (-1 * -2x + m * -2x) + 2m + -5 = 0

Reorder the terms:
mx2 + -1x2 + (-2mx + 2x) + 2m + -5 = 0
mx2 + -1x2 + (-2mx + 2x) + 2m + -5 = 0

Reorder the terms:
-5 + 2m + -2mx + mx2 + 2x + -1x2 = 0

Solving
-5 + 2m + -2mx + mx2 + 2x + -1x2 = 0

Solving for variable 'm'.

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

Add '5' to each side of the equation.
-5 + 2m + -2mx + mx2 + 2x + 5 + -1x2 = 0 + 5

Reorder the terms:
-5 + 5 + 2m + -2mx + mx2 + 2x + -1x2 = 0 + 5

Combine like terms: -5 + 5 = 0
0 + 2m + -2mx + mx2 + 2x + -1x2 = 0 + 5
2m + -2mx + mx2 + 2x + -1x2 = 0 + 5

Combine like terms: 0 + 5 = 5
2m + -2mx + mx2 + 2x + -1x2 = 5

Add '-2x' to each side of the equation.
2m + -2mx + mx2 + 2x + -2x + -1x2 = 5 + -2x

Combine like terms: 2x + -2x = 0
2m + -2mx + mx2 + 0 + -1x2 = 5 + -2x
2m + -2mx + mx2 + -1x2 = 5 + -2x

Add 'x2' to each side of the equation.
2m + -2mx + mx2 + -1x2 + x2 = 5 + -2x + x2

Combine like terms: -1x2 + x2 = 0
2m + -2mx + mx2 + 0 = 5 + -2x + x2
2m + -2mx + mx2 = 5 + -2x + x2

Reorder the terms:
-5 + 2m + -2mx + mx2 + 2x + -1x2 = 5 + -2x + x2 + -5 + 2x + -1x2

Reorder the terms:
-5 + 2m + -2mx + mx2 + 2x + -1x2 = 5 + -5 + -2x + 2x + x2 + -1x2

Combine like terms: 5 + -5 = 0
-5 + 2m + -2mx + mx2 + 2x + -1x2 = 0 + -2x + 2x + x2 + -1x2
-5 + 2m + -2mx + mx2 + 2x + -1x2 = -2x + 2x + x2 + -1x2

Combine like terms: -2x + 2x = 0
-5 + 2m + -2mx + mx2 + 2x + -1x2 = 0 + x2 + -1x2
-5 + 2m + -2mx + mx2 + 2x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-5 + 2m + -2mx + mx2 + 2x + -1x2 = 0

The solution to this equation could not be determined.

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