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

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


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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

The solution to this equation could not be determined.

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