x^2-3kx+k+6=0

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


Simplifying
x2 + -3kx + k + 6 = 0

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

Solving
6 + k + -3kx + x2 = 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 + -6 + x2 = 0 + -6

Reorder the terms:
6 + -6 + k + -3kx + x2 = 0 + -6

Combine like terms: 6 + -6 = 0
0 + k + -3kx + x2 = 0 + -6
k + -3kx + x2 = 0 + -6

Combine like terms: 0 + -6 = -6
k + -3kx + x2 = -6

Add '-1x2' to each side of the equation.
k + -3kx + x2 + -1x2 = -6 + -1x2

Combine like terms: x2 + -1x2 = 0
k + -3kx + 0 = -6 + -1x2
k + -3kx = -6 + -1x2

Reorder the terms:
6 + k + -3kx + x2 = -6 + -1x2 + 6 + x2

Reorder the terms:
6 + k + -3kx + x2 = -6 + 6 + -1x2 + x2

Combine like terms: -6 + 6 = 0
6 + k + -3kx + x2 = 0 + -1x2 + x2
6 + k + -3kx + x2 = -1x2 + x2

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

The solution to this equation could not be determined.

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