9b^2-4=9b

Solution for 9b^2-4=9b equation:

Simplifying
9b2 + -4 = 9b

Reorder the terms:
-4 + 9b2 = 9b

Solving
-4 + 9b2 = 9b

Solving for variable 'b'.

Reorder the terms:
-4 + -9b + 9b2 = 9b + -9b

Combine like terms: 9b + -9b = 0
-4 + -9b + 9b2 = 0

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

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

Simplifying
-1 + -3b = 0

Solving
-1 + -3b = 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 + -3b = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -3b = 0 + 1
-3b = 0 + 1

Combine like terms: 0 + 1 = 1
-3b = 1

Divide each side by '-3'.
b = -0.3333333333

Simplifying
b = -0.3333333333
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 = {-0.3333333333, 1.333333333}