4b^2-9b-36b+81=

Solution for 4b^2-9b-36b+81= equation:

Simplifying
4b2 + -9b + -36b + 81 = 0

Reorder the terms:
81 + -9b + -36b + 4b2 = 0

Combine like terms: -9b + -36b = -45b
81 + -45b + 4b2 = 0

Solving
81 + -45b + 4b2 = 0

Solving for variable 'b'.

Factor a trinomial.
(9 + -4b)(9 + -1b) = 0

Subproblem 1
Set the factor '(9 + -4b)' equal to zero and attempt to solve:

Simplifying
9 + -4b = 0

Solving
9 + -4b = 0

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

Add '-9' to each side of the equation.
9 + -9 + -4b = 0 + -9

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

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

Divide each side by '-4'.
b = 2.25

Simplifying
b = 2.25
Subproblem 2
Set the factor '(9 + -1b)' equal to zero and attempt to solve:

Simplifying
9 + -1b = 0

Solving
9 + -1b = 0

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

Add '-9' to each side of the equation.
9 + -9 + -1b = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -1b = 0 + -9
-1b = 0 + -9

Combine like terms: 0 + -9 = -9
-1b = -9

Divide each side by '-1'.
b = 9

Simplifying
b = 9
Solution
b = {2.25, 9}