Let K be an integer and the solution of the equation KX = 6-2x about K be a natural number to find the value of K

Let K be an integer and the solution of the equation KX = 6-2x about K be a natural number to find the value of K

KX=6-2X
(K+2)X=6
X=6/(K+2)
Because x is a natural number, 6 can be divided by K + 2, and K is 0,1,4

Let X be an integer, and the solution X of the equation KX = 6-2x about X is a natural number?

kx+2x=6
(k+2)x=6
x=6/(k+2)
The solution is a natural number, that is, 6 divided by K + 2 is a natural number
So K + 2 is a divisor of 6
So K + 2 = 1,2,3,6
So k = - 1,0,1,4

Let K be an integer and the solution of the equation KX = 6-2x about X be a natural number. Try to find the value of K

kx+2x=6
(k+2)x=6
x=6/(k+2)
The solution is a natural number, that is, 6 divided by K + 2 is a natural number
So K + 2 is a divisor of 6
So K + 2 = 1,2,3,6
So k = - 1,0,1,4