kx^2+(1-3k)x+(k-6)=0

Solution for kx^2+(1-3k)x+(k-6)=0 equation:

Simplifying
kx2 + (1 + -3k) * x + (k + -6) = 0

Reorder the terms for easier multiplication:
kx2 + x(1 + -3k) + (k + -6) = 0
kx2 + (1 * x + -3k * x) + (k + -6) = 0

Reorder the terms:
kx2 + (-3kx + 1x) + (k + -6) = 0
kx2 + (-3kx + 1x) + (k + -6) = 0

Reorder the terms:
kx2 + -3kx + 1x + (-6 + k) = 0

Remove parenthesis around (-6 + k)
kx2 + -3kx + 1x + -6 + k = 0

Reorder the terms:
-6 + k + -3kx + kx2 + 1x = 0

Solving
-6 + k + -3kx + kx2 + 1x = 0

Solving for variable 'k'.

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

Add '6' to each side of the equation.
-6 + k + -3kx + kx2 + 6 + 1x = 0 + 6

Reorder the terms:
-6 + 6 + k + -3kx + kx2 + 1x = 0 + 6

Combine like terms: -6 + 6 = 0
0 + k + -3kx + kx2 + 1x = 0 + 6
k + -3kx + kx2 + 1x = 0 + 6

Combine like terms: 0 + 6 = 6
k + -3kx + kx2 + 1x = 6

Add '-1x' to each side of the equation.
k + -3kx + kx2 + 1x + -1x = 6 + -1x

Combine like terms: 1x + -1x = 0
k + -3kx + kx2 + 0 = 6 + -1x
k + -3kx + kx2 = 6 + -1x

Reorder the terms:
-6 + k + -3kx + kx2 + x = 6 + -1x + -6 + x

Reorder the terms:
-6 + k + -3kx + kx2 + x = 6 + -6 + -1x + x

Combine like terms: 6 + -6 = 0
-6 + k + -3kx + kx2 + x = 0 + -1x + x
-6 + k + -3kx + kx2 + x = -1x + x

Combine like terms: -1x + x = 0
-6 + k + -3kx + kx2 + x = 0

The solution to this equation could not be determined.