(m-5)*x^2-4mx+m-2=0

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Solution for (m-5)*x^2-4mx+m-2=0 equation: 


Simplifying
(m + -5) * x2 + -4mx + m + -2 = 0

Reorder the terms:
(-5 + m) * x2 + -4mx + m + -2 = 0

Reorder the terms for easier multiplication:
x2(-5 + m) + -4mx + m + -2 = 0
(-5 * x2 + m * x2) + -4mx + m + -2 = 0

Reorder the terms:
(mx2 + -5x2) + -4mx + m + -2 = 0
(mx2 + -5x2) + -4mx + m + -2 = 0

Reorder the terms:
-2 + m + -4mx + mx2 + -5x2 = 0

Solving
-2 + m + -4mx + mx2 + -5x2 = 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 + m + -4mx + mx2 + 2 + -5x2 = 0 + 2

Reorder the terms:
-2 + 2 + m + -4mx + mx2 + -5x2 = 0 + 2

Combine like terms: -2 + 2 = 0
0 + m + -4mx + mx2 + -5x2 = 0 + 2
m + -4mx + mx2 + -5x2 = 0 + 2

Combine like terms: 0 + 2 = 2
m + -4mx + mx2 + -5x2 = 2

Add '5x2' to each side of the equation.
m + -4mx + mx2 + -5x2 + 5x2 = 2 + 5x2

Combine like terms: -5x2 + 5x2 = 0
m + -4mx + mx2 + 0 = 2 + 5x2
m + -4mx + mx2 = 2 + 5x2

Reorder the terms:
-2 + m + -4mx + mx2 + -5x2 = 2 + 5x2 + -2 + -5x2

Reorder the terms:
-2 + m + -4mx + mx2 + -5x2 = 2 + -2 + 5x2 + -5x2

Combine like terms: 2 + -2 = 0
-2 + m + -4mx + mx2 + -5x2 = 0 + 5x2 + -5x2
-2 + m + -4mx + mx2 + -5x2 = 5x2 + -5x2

Combine like terms: 5x2 + -5x2 = 0
-2 + m + -4mx + mx2 + -5x2 = 0

The solution to this equation could not be determined.

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