(m-2)x^2-(6m-1)x+5m+1=0

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Solution for (m-2)x^2-(6m-1)x+5m+1=0 equation: 


Simplifying
(m + -2) * x2 + -1(6m + -1) * x + 5m + 1 = 0

Reorder the terms:
(-2 + m) * x2 + -1(6m + -1) * x + 5m + 1 = 0

Reorder the terms for easier multiplication:
x2(-2 + m) + -1(6m + -1) * x + 5m + 1 = 0
(-2 * x2 + m * x2) + -1(6m + -1) * x + 5m + 1 = 0

Reorder the terms:
(mx2 + -2x2) + -1(6m + -1) * x + 5m + 1 = 0
(mx2 + -2x2) + -1(6m + -1) * x + 5m + 1 = 0

Reorder the terms:
mx2 + -2x2 + -1(-1 + 6m) * x + 5m + 1 = 0

Reorder the terms for easier multiplication:
mx2 + -2x2 + -1x(-1 + 6m) + 5m + 1 = 0
mx2 + -2x2 + (-1 * -1x + 6m * -1x) + 5m + 1 = 0

Reorder the terms:
mx2 + -2x2 + (-6mx + 1x) + 5m + 1 = 0
mx2 + -2x2 + (-6mx + 1x) + 5m + 1 = 0

Reorder the terms:
1 + 5m + -6mx + mx2 + 1x + -2x2 = 0

Solving
1 + 5m + -6mx + mx2 + 1x + -2x2 = 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 + 5m + -6mx + mx2 + 1x + -1 + -2x2 = 0 + -1

Reorder the terms:
1 + -1 + 5m + -6mx + mx2 + 1x + -2x2 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 5m + -6mx + mx2 + 1x + -2x2 = 0 + -1
5m + -6mx + mx2 + 1x + -2x2 = 0 + -1

Combine like terms: 0 + -1 = -1
5m + -6mx + mx2 + 1x + -2x2 = -1

Add '-1x' to each side of the equation.
5m + -6mx + mx2 + 1x + -1x + -2x2 = -1 + -1x

Combine like terms: 1x + -1x = 0
5m + -6mx + mx2 + 0 + -2x2 = -1 + -1x
5m + -6mx + mx2 + -2x2 = -1 + -1x

Add '2x2' to each side of the equation.
5m + -6mx + mx2 + -2x2 + 2x2 = -1 + -1x + 2x2

Combine like terms: -2x2 + 2x2 = 0
5m + -6mx + mx2 + 0 = -1 + -1x + 2x2
5m + -6mx + mx2 = -1 + -1x + 2x2

Reorder the terms:
1 + 5m + -6mx + mx2 + x + -2x2 = -1 + -1x + 2x2 + 1 + x + -2x2

Reorder the terms:
1 + 5m + -6mx + mx2 + x + -2x2 = -1 + 1 + -1x + x + 2x2 + -2x2

Combine like terms: -1 + 1 = 0
1 + 5m + -6mx + mx2 + x + -2x2 = 0 + -1x + x + 2x2 + -2x2
1 + 5m + -6mx + mx2 + x + -2x2 = -1x + x + 2x2 + -2x2

Combine like terms: -1x + x = 0
1 + 5m + -6mx + mx2 + x + -2x2 = 0 + 2x2 + -2x2
1 + 5m + -6mx + mx2 + x + -2x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
1 + 5m + -6mx + mx2 + x + -2x2 = 0

The solution to this equation could not be determined.

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