ax+b+c=0

Solution for ax+b+c=0 equation:

Simplifying
ax + b + c = 0

Solving
ax + b + c = 0

Solving for variable 'a'.

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

Add '-1b' to each side of the equation.
ax + b + -1b + c = 0 + -1b

Combine like terms: b + -1b = 0
ax + 0 + c = 0 + -1b
ax + c = 0 + -1b
Remove the zero:
ax + c = -1b

Add '-1c' to each side of the equation.
ax + c + -1c = -1b + -1c

Combine like terms: c + -1c = 0
ax + 0 = -1b + -1c
ax = -1b + -1c

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

Simplifying
a = -1bx-1 + -1cx-1