3x^2+(3k+1)x+k=

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

Simplifying
3x2 + (3k + 1) * x + k = 0

Reorder the terms:
3x2 + (1 + 3k) * x + k = 0

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

Reorder the terms:
3x2 + (3kx + 1x) + k = 0
3x2 + (3kx + 1x) + k = 0

Reorder the terms:
k + 3kx + 1x + 3x2 = 0

Solving
k + 3kx + 1x + 3x2 = 0

Solving for variable 'k'.

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

Add '-1x' to each side of the equation.
k + 3kx + 1x + -1x + 3x2 = 0 + -1x

Combine like terms: 1x + -1x = 0
k + 3kx + 0 + 3x2 = 0 + -1x
k + 3kx + 3x2 = 0 + -1x
Remove the zero:
k + 3kx + 3x2 = -1x

Add '-3x2' to each side of the equation.
k + 3kx + 3x2 + -3x2 = -1x + -3x2

Combine like terms: 3x2 + -3x2 = 0
k + 3kx + 0 = -1x + -3x2
k + 3kx = -1x + -3x2

Reorder the terms:
k + 3kx + x + 3x2 = -1x + x + -3x2 + 3x2

Combine like terms: -1x + x = 0
k + 3kx + x + 3x2 = 0 + -3x2 + 3x2
k + 3kx + x + 3x2 = -3x2 + 3x2

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

The solution to this equation could not be determined.