(12a+b)(a+1b)=

Solution for (12a+b)(a+1b)= equation:

Simplifying
(12a + b)(a + 1b) = 0

Multiply (12a + b) * (a + 1b)
(12a * (a + 1b) + b(a + 1b)) = 0
((a * 12a + 1b * 12a) + b(a + 1b)) = 0

Reorder the terms:
((12ab + 12a2) + b(a + 1b)) = 0
((12ab + 12a2) + b(a + 1b)) = 0
(12ab + 12a2 + (a * b + 1b * b)) = 0
(12ab + 12a2 + (ab + 1b2)) = 0

Reorder the terms:
(12ab + ab + 12a2 + 1b2) = 0

Combine like terms: 12ab + ab = 13ab
(13ab + 12a2 + 1b2) = 0

Solving
13ab + 12a2 + 1b2 = 0

Solving for variable 'a'.

Factor a trinomial.
(12a + b)(a + b) = 0

Subproblem 1
Set the factor '(12a + b)' equal to zero and attempt to solve:

Simplifying
12a + b = 0

Solving
12a + b = 0

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

Add '-1b' to each side of the equation.
12a + b + -1b = 0 + -1b

Combine like terms: b + -1b = 0
12a + 0 = 0 + -1b
12a = 0 + -1b
Remove the zero:
12a = -1b

Divide each side by '12'.
a = -0.08333333333b

Simplifying
a = -0.08333333333b
Subproblem 2
Set the factor '(a + b)' equal to zero and attempt to solve:

Simplifying
a + b = 0

Solving
a + b = 0

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

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

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

Simplifying
a = -1b
Solution
a = {-0.08333333333b, -1b}