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

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

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

Remove parenthesis around (2k)
2k * x2 + (3k) * x + (2 + k) = 0

Multiply k * x2
2kx2 + (3k) * x + (2 + k) = 0

Remove parenthesis around (3k)
2kx2 + 3k * x + (2 + k) = 0

Multiply k * x
2kx2 + 3kx + (2 + k) = 0

Remove parenthesis around (2 + k)
2kx2 + 3kx + 2 + k = 0

Reorder the terms:
2 + k + 3kx + 2kx2 = 0

Solving
2 + k + 3kx + 2kx2 = 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 + k + 3kx + -2 + 2kx2 = 0 + -2

Reorder the terms:
2 + -2 + k + 3kx + 2kx2 = 0 + -2

Combine like terms: 2 + -2 = 0
0 + k + 3kx + 2kx2 = 0 + -2
k + 3kx + 2kx2 = 0 + -2

Combine like terms: 0 + -2 = -2
k + 3kx + 2kx2 = -2

Reorder the terms:
2 + k + 3kx + 2kx2 = -2 + 2

Combine like terms: -2 + 2 = 0
2 + k + 3kx + 2kx2 = 0

The solution to this equation could not be determined.