3x^2+(2-3k)x-3k-2=0

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


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

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

Reorder the terms:
3x2 + (-3kx + 2x) + -3k + -2 = 0
3x2 + (-3kx + 2x) + -3k + -2 = 0

Reorder the terms:
-2 + -3k + -3kx + 2x + 3x2 = 0

Solving
-2 + -3k + -3kx + 2x + 3x2 = 0

Solving for variable 'k'.

Move all terms containing k to the left, all other terms to the right.

Add '2' to each side of the equation.
-2 + -3k + -3kx + 2x + 2 + 3x2 = 0 + 2

Reorder the terms:
-2 + 2 + -3k + -3kx + 2x + 3x2 = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -3k + -3kx + 2x + 3x2 = 0 + 2
-3k + -3kx + 2x + 3x2 = 0 + 2

Combine like terms: 0 + 2 = 2
-3k + -3kx + 2x + 3x2 = 2

Add '-2x' to each side of the equation.
-3k + -3kx + 2x + -2x + 3x2 = 2 + -2x

Combine like terms: 2x + -2x = 0
-3k + -3kx + 0 + 3x2 = 2 + -2x
-3k + -3kx + 3x2 = 2 + -2x

Add '-3x2' to each side of the equation.
-3k + -3kx + 3x2 + -3x2 = 2 + -2x + -3x2

Combine like terms: 3x2 + -3x2 = 0
-3k + -3kx + 0 = 2 + -2x + -3x2
-3k + -3kx = 2 + -2x + -3x2

Reorder the terms:
-2 + -3k + -3kx + 2x + 3x2 = 2 + -2x + -3x2 + -2 + 2x + 3x2

Reorder the terms:
-2 + -3k + -3kx + 2x + 3x2 = 2 + -2 + -2x + 2x + -3x2 + 3x2

Combine like terms: 2 + -2 = 0
-2 + -3k + -3kx + 2x + 3x2 = 0 + -2x + 2x + -3x2 + 3x2
-2 + -3k + -3kx + 2x + 3x2 = -2x + 2x + -3x2 + 3x2

Combine like terms: -2x + 2x = 0
-2 + -3k + -3kx + 2x + 3x2 = 0 + -3x2 + 3x2
-2 + -3k + -3kx + 2x + 3x2 = -3x2 + 3x2

Combine like terms: -3x2 + 3x2 = 0
-2 + -3k + -3kx + 2x + 3x2 = 0

The solution to this equation could not be determined.

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