(12b+1)(10b-1)=0

Solution for (12b+1)(10b-1)=0 equation:

Simplifying
(12b + 1)(10b + -1) = 0

Reorder the terms:
(1 + 12b)(10b + -1) = 0

Reorder the terms:
(1 + 12b)(-1 + 10b) = 0

Multiply (1 + 12b) * (-1 + 10b)
(1(-1 + 10b) + 12b * (-1 + 10b)) = 0
((-1 * 1 + 10b * 1) + 12b * (-1 + 10b)) = 0
((-1 + 10b) + 12b * (-1 + 10b)) = 0
(-1 + 10b + (-1 * 12b + 10b * 12b)) = 0
(-1 + 10b + (-12b + 120b2)) = 0

Combine like terms: 10b + -12b = -2b
(-1 + -2b + 120b2) = 0

Solving
-1 + -2b + 120b2 = 0

Solving for variable 'b'.

Factor a trinomial.
(-1 + -12b)(1 + -10b) = 0

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

Simplifying
-1 + -12b = 0

Solving
-1 + -12b = 0

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

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

Combine like terms: -1 + 1 = 0
0 + -12b = 0 + 1
-12b = 0 + 1

Combine like terms: 0 + 1 = 1
-12b = 1

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

Simplifying
b = -0.08333333333
Subproblem 2
Set the factor '(1 + -10b)' equal to zero and attempt to solve:

Simplifying
1 + -10b = 0

Solving
1 + -10b = 0

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

Add '-1' to each side of the equation.
1 + -1 + -10b = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -10b = 0 + -1
-10b = 0 + -1

Combine like terms: 0 + -1 = -1
-10b = -1

Divide each side by '-10'.
b = 0.1

Simplifying
b = 0.1
Solution
b = {-0.08333333333, 0.1}