b-0.405+ln(a)+4*b+ln(a)+9*b+0.105+ln(a)=0

Solution for b-0.405+ln(a)+4*b+ln(a)+9*b+0.105+ln(a)=0 equation:

Simplifying
b + -0.405 + ln(a) + 4b + ln(a) + 9b + 0.105 + ln(a) = 0

Multiply ln * a
b + -0.405 + aln + 4b + ln(a) + 9b + 0.105 + ln(a) = 0

Multiply ln * a
b + -0.405 + aln + 4b + aln + 9b + 0.105 + ln(a) = 0

Multiply ln * a
b + -0.405 + aln + 4b + aln + 9b + 0.105 + aln = 0

Reorder the terms:
-0.405 + 0.105 + aln + aln + aln + b + 4b + 9b = 0

Combine like terms: -0.405 + 0.105 = -0.3
-0.3 + aln + aln + aln + b + 4b + 9b = 0

Combine like terms: aln + aln = 2aln
-0.3 + 2aln + aln + b + 4b + 9b = 0

Combine like terms: 2aln + aln = 3aln
-0.3 + 3aln + b + 4b + 9b = 0

Combine like terms: b + 4b = 5b
-0.3 + 3aln + 5b + 9b = 0

Combine like terms: 5b + 9b = 14b
-0.3 + 3aln + 14b = 0

Solving
-0.3 + 3aln + 14b = 0

Solving for variable 'a'.

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

Add '0.3' to each side of the equation.
-0.3 + 3aln + 0.3 + 14b = 0 + 0.3

Reorder the terms:
-0.3 + 0.3 + 3aln + 14b = 0 + 0.3

Combine like terms: -0.3 + 0.3 = 0.0
0.0 + 3aln + 14b = 0 + 0.3
3aln + 14b = 0 + 0.3

Combine like terms: 0 + 0.3 = 0.3
3aln + 14b = 0.3

Add '-14b' to each side of the equation.
3aln + 14b + -14b = 0.3 + -14b

Combine like terms: 14b + -14b = 0
3aln + 0 = 0.3 + -14b
3aln = 0.3 + -14b

Divide each side by '3ln'.
a = 0.1l-1n-1 + -4.666666667bl-1n-1

Simplifying
a = 0.1l-1n-1 + -4.666666667bl-1n-1

Reorder the terms:
a = -4.666666667bl-1n-1 + 0.1l-1n-1