3mx^2-(m+1)x+(3m-2)=0

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Solution for 3mx^2-(m+1)x+(3m-2)=0 equation:


Simplifying
3mx2 + -1(m + 1) * x + (3m + -2) = 0

Reorder the terms:
3mx2 + -1(1 + m) * x + (3m + -2) = 0

Reorder the terms for easier multiplication:
3mx2 + -1x(1 + m) + (3m + -2) = 0
3mx2 + (1 * -1x + m * -1x) + (3m + -2) = 0

Reorder the terms:
3mx2 + (-1mx + -1x) + (3m + -2) = 0
3mx2 + (-1mx + -1x) + (3m + -2) = 0

Reorder the terms:
3mx2 + -1mx + -1x + (-2 + 3m) = 0

Remove parenthesis around (-2 + 3m)
3mx2 + -1mx + -1x + -2 + 3m = 0

Reorder the terms:
-2 + 3m + -1mx + 3mx2 + -1x = 0

Solving
-2 + 3m + -1mx + 3mx2 + -1x = 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 + 3m + -1mx + 3mx2 + 2 + -1x = 0 + 2

Reorder the terms:
-2 + 2 + 3m + -1mx + 3mx2 + -1x = 0 + 2

Combine like terms: -2 + 2 = 0
0 + 3m + -1mx + 3mx2 + -1x = 0 + 2
3m + -1mx + 3mx2 + -1x = 0 + 2

Combine like terms: 0 + 2 = 2
3m + -1mx + 3mx2 + -1x = 2

Add 'x' to each side of the equation.
3m + -1mx + 3mx2 + -1x + x = 2 + x

Combine like terms: -1x + x = 0
3m + -1mx + 3mx2 + 0 = 2 + x
3m + -1mx + 3mx2 = 2 + x

Reorder the terms:
-2 + 3m + -1mx + 3mx2 + -1x = 2 + x + -2 + -1x

Reorder the terms:
-2 + 3m + -1mx + 3mx2 + -1x = 2 + -2 + x + -1x

Combine like terms: 2 + -2 = 0
-2 + 3m + -1mx + 3mx2 + -1x = 0 + x + -1x
-2 + 3m + -1mx + 3mx2 + -1x = x + -1x

Combine like terms: x + -1x = 0
-2 + 3m + -1mx + 3mx2 + -1x = 0

The solution to this equation could not be determined.

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