(m-2)x^2-2mx+(m+8)=0

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Solution for (m-2)x^2-2mx+(m+8)=0 equation: 


Simplifying
(m + -2) * x2 + -2mx + (m + 8) = 0

Reorder the terms:
(-2 + m) * x2 + -2mx + (m + 8) = 0

Reorder the terms for easier multiplication:
x2(-2 + m) + -2mx + (m + 8) = 0
(-2 * x2 + m * x2) + -2mx + (m + 8) = 0

Reorder the terms:
(mx2 + -2x2) + -2mx + (m + 8) = 0
(mx2 + -2x2) + -2mx + (m + 8) = 0

Reorder the terms:
mx2 + -2x2 + -2mx + (8 + m) = 0

Remove parenthesis around (8 + m)
mx2 + -2x2 + -2mx + 8 + m = 0

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

Solving
8 + m + -2mx + mx2 + -2x2 = 0

Solving for variable 'm'.

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

Add '-8' to each side of the equation.
8 + m + -2mx + mx2 + -8 + -2x2 = 0 + -8

Reorder the terms:
8 + -8 + m + -2mx + mx2 + -2x2 = 0 + -8

Combine like terms: 8 + -8 = 0
0 + m + -2mx + mx2 + -2x2 = 0 + -8
m + -2mx + mx2 + -2x2 = 0 + -8

Combine like terms: 0 + -8 = -8
m + -2mx + mx2 + -2x2 = -8

Add '2x2' to each side of the equation.
m + -2mx + mx2 + -2x2 + 2x2 = -8 + 2x2

Combine like terms: -2x2 + 2x2 = 0
m + -2mx + mx2 + 0 = -8 + 2x2
m + -2mx + mx2 = -8 + 2x2

Reorder the terms:
8 + m + -2mx + mx2 + -2x2 = -8 + 2x2 + 8 + -2x2

Reorder the terms:
8 + m + -2mx + mx2 + -2x2 = -8 + 8 + 2x2 + -2x2

Combine like terms: -8 + 8 = 0
8 + m + -2mx + mx2 + -2x2 = 0 + 2x2 + -2x2
8 + m + -2mx + mx2 + -2x2 = 2x2 + -2x2

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

The solution to this equation could not be determined.

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