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

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


Simplifying
(m + -1x) * x2 + -4mx + (m + -2) = 0

Reorder the terms for easier multiplication:
x2(m + -1x) + -4mx + (m + -2) = 0
(m * x2 + -1x * x2) + -4mx + (m + -2) = 0
(mx2 + -1x3) + -4mx + (m + -2) = 0

Reorder the terms:
mx2 + -1x3 + -4mx + (-2 + m) = 0

Remove parenthesis around (-2 + m)
mx2 + -1x3 + -4mx + -2 + m = 0

Reorder the terms:
-2 + m + -4mx + mx2 + -1x3 = 0

Solving
-2 + m + -4mx + mx2 + -1x3 = 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 + -1x3 = 0 + 2

Reorder the terms:
-2 + 2 + m + -4mx + mx2 + -1x3 = 0 + 2

Combine like terms: -2 + 2 = 0
0 + m + -4mx + mx2 + -1x3 = 0 + 2
m + -4mx + mx2 + -1x3 = 0 + 2

Combine like terms: 0 + 2 = 2
m + -4mx + mx2 + -1x3 = 2

Add 'x3' to each side of the equation.
m + -4mx + mx2 + -1x3 + x3 = 2 + x3

Combine like terms: -1x3 + x3 = 0
m + -4mx + mx2 + 0 = 2 + x3
m + -4mx + mx2 = 2 + x3

Reorder the terms:
-2 + m + -4mx + mx2 + -1x3 = 2 + x3 + -2 + -1x3

Reorder the terms:
-2 + m + -4mx + mx2 + -1x3 = 2 + -2 + x3 + -1x3

Combine like terms: 2 + -2 = 0
-2 + m + -4mx + mx2 + -1x3 = 0 + x3 + -1x3
-2 + m + -4mx + mx2 + -1x3 = x3 + -1x3

Combine like terms: x3 + -1x3 = 0
-2 + m + -4mx + mx2 + -1x3 = 0

The solution to this equation could not be determined.

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