b(3b-4)=4

Solution for b(3b-4)=4 equation:

Simplifying
b(3b + -4) = 4

Reorder the terms:
b(-4 + 3b) = 4
(-4 * b + 3b * b) = 4
(-4b + 3b2) = 4

Solving
-4b + 3b2 = 4

Solving for variable 'b'.

Reorder the terms:
-4 + -4b + 3b2 = 4 + -4

Combine like terms: 4 + -4 = 0
-4 + -4b + 3b2 = 0

Factor a trinomial.
(-2 + -3b)(2 + -1b) = 0

Subproblem 1
Set the factor '(-2 + -3b)' equal to zero and attempt to solve:

Simplifying
-2 + -3b = 0

Solving
-2 + -3b = 0

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

Add '2' to each side of the equation.
-2 + 2 + -3b = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -3b = 0 + 2
-3b = 0 + 2

Combine like terms: 0 + 2 = 2
-3b = 2

Divide each side by '-3'.
b = -0.6666666667

Simplifying
b = -0.6666666667
Subproblem 2
Set the factor '(2 + -1b)' equal to zero and attempt to solve:

Simplifying
2 + -1b = 0

Solving
2 + -1b = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1b = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1b = 0 + -2
-1b = 0 + -2

Combine like terms: 0 + -2 = -2
-1b = -2

Divide each side by '-1'.
b = 2

Simplifying
b = 2
Solution
b = {-0.6666666667, 2}