(m*3)x^2-6*x+(m-2)=0

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Solution for (m*3)x^2-6*x+(m-2)=0 equation:


Simplifying
(m * 3) * x2 + -6x + (m + -2) = 0

Reorder the terms for easier multiplication:
(3m) * x2 + -6x + (m + -2) = 0

Remove parenthesis around (3m)
3m * x2 + -6x + (m + -2) = 0

Multiply m * x2
3mx2 + -6x + (m + -2) = 0

Reorder the terms:
3mx2 + -6x + (-2 + m) = 0

Remove parenthesis around (-2 + m)
3mx2 + -6x + -2 + m = 0

Reorder the terms:
-2 + m + 3mx2 + -6x = 0

Solving
-2 + m + 3mx2 + -6x = 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 + 3mx2 + 2 + -6x = 0 + 2

Reorder the terms:
-2 + 2 + m + 3mx2 + -6x = 0 + 2

Combine like terms: -2 + 2 = 0
0 + m + 3mx2 + -6x = 0 + 2
m + 3mx2 + -6x = 0 + 2

Combine like terms: 0 + 2 = 2
m + 3mx2 + -6x = 2

Add '6x' to each side of the equation.
m + 3mx2 + -6x + 6x = 2 + 6x

Combine like terms: -6x + 6x = 0
m + 3mx2 + 0 = 2 + 6x
m + 3mx2 = 2 + 6x

Reorder the terms:
-2 + m + 3mx2 + -6x = 2 + 6x + -2 + -6x

Reorder the terms:
-2 + m + 3mx2 + -6x = 2 + -2 + 6x + -6x

Combine like terms: 2 + -2 = 0
-2 + m + 3mx2 + -6x = 0 + 6x + -6x
-2 + m + 3mx2 + -6x = 6x + -6x

Combine like terms: 6x + -6x = 0
-2 + m + 3mx2 + -6x = 0

The solution to this equation could not be determined.

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