x^2+ax+6=0

Solution for x^2+ax+6=0 equation:

Simplifying
x2 + ax + 6 = 0

Reorder the terms:
6 + ax + x2 = 0

Solving
6 + ax + x2 = 0

Solving for variable 'a'.

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

Add '-6' to each side of the equation.
6 + ax + -6 + x2 = 0 + -6

Reorder the terms:
6 + -6 + ax + x2 = 0 + -6

Combine like terms: 6 + -6 = 0
0 + ax + x2 = 0 + -6
ax + x2 = 0 + -6

Combine like terms: 0 + -6 = -6
ax + x2 = -6

Add '-1x2' to each side of the equation.
ax + x2 + -1x2 = -6 + -1x2

Combine like terms: x2 + -1x2 = 0
ax + 0 = -6 + -1x2
ax = -6 + -1x2

Divide each side by 'x'.
a = -6x-1 + -1x

Simplifying
a = -6x-1 + -1x