(m-6)x^2+(6m-9)x+(2-6m)=0

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Solution for (m-6)x^2+(6m-9)x+(2-6m)=0 equation: 


Simplifying
(m + -6) * x2 + (6m + -9) * x + (2 + -6m) = 0

Reorder the terms:
(-6 + m) * x2 + (6m + -9) * x + (2 + -6m) = 0

Reorder the terms for easier multiplication:
x2(-6 + m) + (6m + -9) * x + (2 + -6m) = 0
(-6 * x2 + m * x2) + (6m + -9) * x + (2 + -6m) = 0

Reorder the terms:
(mx2 + -6x2) + (6m + -9) * x + (2 + -6m) = 0
(mx2 + -6x2) + (6m + -9) * x + (2 + -6m) = 0

Reorder the terms:
mx2 + -6x2 + (-9 + 6m) * x + (2 + -6m) = 0

Reorder the terms for easier multiplication:
mx2 + -6x2 + x(-9 + 6m) + (2 + -6m) = 0
mx2 + -6x2 + (-9 * x + 6m * x) + (2 + -6m) = 0

Reorder the terms:
mx2 + -6x2 + (6mx + -9x) + (2 + -6m) = 0
mx2 + -6x2 + (6mx + -9x) + (2 + -6m) = 0

Remove parenthesis around (2 + -6m)
mx2 + -6x2 + 6mx + -9x + 2 + -6m = 0

Reorder the terms:
2 + -6m + 6mx + mx2 + -9x + -6x2 = 0

Solving
2 + -6m + 6mx + mx2 + -9x + -6x2 = 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 + -6m + 6mx + mx2 + -9x + -2 + -6x2 = 0 + -2

Reorder the terms:
2 + -2 + -6m + 6mx + mx2 + -9x + -6x2 = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -6m + 6mx + mx2 + -9x + -6x2 = 0 + -2
-6m + 6mx + mx2 + -9x + -6x2 = 0 + -2

Combine like terms: 0 + -2 = -2
-6m + 6mx + mx2 + -9x + -6x2 = -2

Add '9x' to each side of the equation.
-6m + 6mx + mx2 + -9x + 9x + -6x2 = -2 + 9x

Combine like terms: -9x + 9x = 0
-6m + 6mx + mx2 + 0 + -6x2 = -2 + 9x
-6m + 6mx + mx2 + -6x2 = -2 + 9x

Add '6x2' to each side of the equation.
-6m + 6mx + mx2 + -6x2 + 6x2 = -2 + 9x + 6x2

Combine like terms: -6x2 + 6x2 = 0
-6m + 6mx + mx2 + 0 = -2 + 9x + 6x2
-6m + 6mx + mx2 = -2 + 9x + 6x2

Reorder the terms:
2 + -6m + 6mx + mx2 + -9x + -6x2 = -2 + 9x + 6x2 + 2 + -9x + -6x2

Reorder the terms:
2 + -6m + 6mx + mx2 + -9x + -6x2 = -2 + 2 + 9x + -9x + 6x2 + -6x2

Combine like terms: -2 + 2 = 0
2 + -6m + 6mx + mx2 + -9x + -6x2 = 0 + 9x + -9x + 6x2 + -6x2
2 + -6m + 6mx + mx2 + -9x + -6x2 = 9x + -9x + 6x2 + -6x2

Combine like terms: 9x + -9x = 0
2 + -6m + 6mx + mx2 + -9x + -6x2 = 0 + 6x2 + -6x2
2 + -6m + 6mx + mx2 + -9x + -6x2 = 6x2 + -6x2

Combine like terms: 6x2 + -6x2 = 0
2 + -6m + 6mx + mx2 + -9x + -6x2 = 0

The solution to this equation could not be determined.

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