X^2+(3k-1)x-3k=0

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

Simplifying
X2 + (3k + -1) * x + -3k = 0

Reorder the terms:
X2 + (-1 + 3k) * x + -3k = 0

Reorder the terms for easier multiplication:
X2 + x(-1 + 3k) + -3k = 0
X2 + (-1 * x + 3k * x) + -3k = 0

Reorder the terms:
X2 + (3kx + -1x) + -3k = 0
X2 + (3kx + -1x) + -3k = 0

Reorder the terms:
X2 + -3k + 3kx + -1x = 0

Solving
X2 + -3k + 3kx + -1x = 0

Solving for variable 'X'.

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

Add '3k' to each side of the equation.
X2 + -3k + 3kx + 3k + -1x = 0 + 3k

Reorder the terms:
X2 + -3k + 3k + 3kx + -1x = 0 + 3k

Combine like terms: -3k + 3k = 0
X2 + 0 + 3kx + -1x = 0 + 3k
X2 + 3kx + -1x = 0 + 3k
Remove the zero:
X2 + 3kx + -1x = 3k

Add '-3kx' to each side of the equation.
X2 + 3kx + -3kx + -1x = 3k + -3kx

Combine like terms: 3kx + -3kx = 0
X2 + 0 + -1x = 3k + -3kx
X2 + -1x = 3k + -3kx

Add 'x' to each side of the equation.
X2 + -1x + x = 3k + -3kx + x

Combine like terms: -1x + x = 0
X2 + 0 = 3k + -3kx + x
X2 = 3k + -3kx + x

Simplifying
X2 = 3k + -3kx + x

Reorder the terms:
X2 + -3k + 3kx + -1x = 3k + -3k + -3kx + 3kx + x + -1x

Combine like terms: 3k + -3k = 0
X2 + -3k + 3kx + -1x = 0 + -3kx + 3kx + x + -1x
X2 + -3k + 3kx + -1x = -3kx + 3kx + x + -1x

Combine like terms: -3kx + 3kx = 0
X2 + -3k + 3kx + -1x = 0 + x + -1x
X2 + -3k + 3kx + -1x = x + -1x

Combine like terms: x + -1x = 0
X2 + -3k + 3kx + -1x = 0

The solution to this equation could not be determined.