b(12b-13)=4

Solution for b(12b-13)=4 equation:

Simplifying
b(12b + -13) = 4

Reorder the terms:
b(-13 + 12b) = 4
(-13 * b + 12b * b) = 4
(-13b + 12b2) = 4

Solving
-13b + 12b2 = 4

Solving for variable 'b'.

Reorder the terms:
-4 + -13b + 12b2 = 4 + -4

Combine like terms: 4 + -4 = 0
-4 + -13b + 12b2 = 0

Factor a trinomial.
(-1 + -4b)(4 + -3b) = 0

Subproblem 1
Set the factor '(-1 + -4b)' equal to zero and attempt to solve:

Simplifying
-1 + -4b = 0

Solving
-1 + -4b = 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 + -4b = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -4b = 0 + 1
-4b = 0 + 1

Combine like terms: 0 + 1 = 1
-4b = 1

Divide each side by '-4'.
b = -0.25

Simplifying
b = -0.25
Subproblem 2
Set the factor '(4 + -3b)' equal to zero and attempt to solve:

Simplifying
4 + -3b = 0

Solving
4 + -3b = 0

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

Add '-4' to each side of the equation.
4 + -4 + -3b = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -3b = 0 + -4
-3b = 0 + -4

Combine like terms: 0 + -4 = -4
-3b = -4

Divide each side by '-3'.
b = 1.333333333

Simplifying
b = 1.333333333
Solution
b = {-0.25, 1.333333333}