x^2+2kx+3(k+1)=0

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

Simplifying
x2 + 2kx + 3(k + 1) = 0

Reorder the terms:
x2 + 2kx + 3(1 + k) = 0
x2 + 2kx + (1 * 3 + k * 3) = 0
x2 + 2kx + (3 + 3k) = 0

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

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

Solving for variable 'k'.

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

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

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

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

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

Add '-1x2' to each side of the equation.
3k + 2kx + x2 + -1x2 = -3 + -1x2

Combine like terms: x2 + -1x2 = 0
3k + 2kx + 0 = -3 + -1x2
3k + 2kx = -3 + -1x2

Reorder the terms:
3 + 3k + 2kx + x2 = -3 + -1x2 + 3 + x2

Reorder the terms:
3 + 3k + 2kx + x2 = -3 + 3 + -1x2 + x2

Combine like terms: -3 + 3 = 0
3 + 3k + 2kx + x2 = 0 + -1x2 + x2
3 + 3k + 2kx + x2 = -1x2 + x2

Combine like terms: -1x2 + x2 = 0
3 + 3k + 2kx + x2 = 0

The solution to this equation could not be determined.