(m-6)x^2-4mx+m+1=0

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Solution for (m-6)x^2-4mx+m+1=0 equation:


Simplifying
(m + -6) * x2 + -4mx + m + 1 = 0

Reorder the terms:
(-6 + m) * x2 + -4mx + m + 1 = 0

Reorder the terms for easier multiplication:
x2(-6 + m) + -4mx + m + 1 = 0
(-6 * x2 + m * x2) + -4mx + m + 1 = 0

Reorder the terms:
(mx2 + -6x2) + -4mx + m + 1 = 0
(mx2 + -6x2) + -4mx + m + 1 = 0

Reorder the terms:
1 + m + -4mx + mx2 + -6x2 = 0

Solving
1 + m + -4mx + mx2 + -6x2 = 0

Solving for variable 'm'.

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

Add '-1' to each side of the equation.
1 + m + -4mx + mx2 + -1 + -6x2 = 0 + -1

Reorder the terms:
1 + -1 + m + -4mx + mx2 + -6x2 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + m + -4mx + mx2 + -6x2 = 0 + -1
m + -4mx + mx2 + -6x2 = 0 + -1

Combine like terms: 0 + -1 = -1
m + -4mx + mx2 + -6x2 = -1

Add '6x2' to each side of the equation.
m + -4mx + mx2 + -6x2 + 6x2 = -1 + 6x2

Combine like terms: -6x2 + 6x2 = 0
m + -4mx + mx2 + 0 = -1 + 6x2
m + -4mx + mx2 = -1 + 6x2

Reorder the terms:
1 + m + -4mx + mx2 + -6x2 = -1 + 6x2 + 1 + -6x2

Reorder the terms:
1 + m + -4mx + mx2 + -6x2 = -1 + 1 + 6x2 + -6x2

Combine like terms: -1 + 1 = 0
1 + m + -4mx + mx2 + -6x2 = 0 + 6x2 + -6x2
1 + m + -4mx + mx2 + -6x2 = 6x2 + -6x2

Combine like terms: 6x2 + -6x2 = 0
1 + m + -4mx + mx2 + -6x2 = 0

The solution to this equation could not be determined.

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