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

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


Simplifying
3x2 + -1(3m + -2) * x + -1(3m + 1) = 0

Reorder the terms:
3x2 + -1(-2 + 3m) * x + -1(3m + 1) = 0

Reorder the terms for easier multiplication:
3x2 + -1x(-2 + 3m) + -1(3m + 1) = 0
3x2 + (-2 * -1x + 3m * -1x) + -1(3m + 1) = 0

Reorder the terms:
3x2 + (-3mx + 2x) + -1(3m + 1) = 0
3x2 + (-3mx + 2x) + -1(3m + 1) = 0

Reorder the terms:
3x2 + -3mx + 2x + -1(1 + 3m) = 0
3x2 + -3mx + 2x + (1 * -1 + 3m * -1) = 0
3x2 + -3mx + 2x + (-1 + -3m) = 0

Reorder the terms:
-1 + -3m + -3mx + 2x + 3x2 = 0

Solving
-1 + -3m + -3mx + 2x + 3x2 = 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 + -3m + -3mx + 2x + 1 + 3x2 = 0 + 1

Reorder the terms:
-1 + 1 + -3m + -3mx + 2x + 3x2 = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -3m + -3mx + 2x + 3x2 = 0 + 1
-3m + -3mx + 2x + 3x2 = 0 + 1

Combine like terms: 0 + 1 = 1
-3m + -3mx + 2x + 3x2 = 1

Add '-2x' to each side of the equation.
-3m + -3mx + 2x + -2x + 3x2 = 1 + -2x

Combine like terms: 2x + -2x = 0
-3m + -3mx + 0 + 3x2 = 1 + -2x
-3m + -3mx + 3x2 = 1 + -2x

Add '-3x2' to each side of the equation.
-3m + -3mx + 3x2 + -3x2 = 1 + -2x + -3x2

Combine like terms: 3x2 + -3x2 = 0
-3m + -3mx + 0 = 1 + -2x + -3x2
-3m + -3mx = 1 + -2x + -3x2

Reorder the terms:
-1 + -3m + -3mx + 2x + 3x2 = 1 + -2x + -3x2 + -1 + 2x + 3x2

Reorder the terms:
-1 + -3m + -3mx + 2x + 3x2 = 1 + -1 + -2x + 2x + -3x2 + 3x2

Combine like terms: 1 + -1 = 0
-1 + -3m + -3mx + 2x + 3x2 = 0 + -2x + 2x + -3x2 + 3x2
-1 + -3m + -3mx + 2x + 3x2 = -2x + 2x + -3x2 + 3x2

Combine like terms: -2x + 2x = 0
-1 + -3m + -3mx + 2x + 3x2 = 0 + -3x2 + 3x2
-1 + -3m + -3mx + 2x + 3x2 = -3x2 + 3x2

Combine like terms: -3x2 + 3x2 = 0
-1 + -3m + -3mx + 2x + 3x2 = 0

The solution to this equation could not be determined.

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