log(x)+a*x+b=0

Solution for log(x)+a*x+b=0 equation:

Simplifying
log(x) + a * x + b = 0

Multiply glo * x
glox + a * x + b = 0

Multiply a * x
glox + ax + b = 0

Reorder the terms:
ax + b + glox = 0

Solving
ax + b + glox = 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 + glox = 0 + -1b

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

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

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

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

Simplifying
a = -1bx-1 + -1glo