18*b^2-89*b=-36

Solution for 18*b^2-89*b=-36 equation:

Simplifying
18b2 + -89b = -36

Reorder the terms:
-89b + 18b2 = -36

Solving
-89b + 18b2 = -36

Solving for variable 'b'.

Reorder the terms:
36 + -89b + 18b2 = -36 + 36

Combine like terms: -36 + 36 = 0
36 + -89b + 18b2 = 0

Factor a trinomial.
(4 + -9b)(9 + -2b) = 0

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

Simplifying
4 + -9b = 0

Solving
4 + -9b = 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 + -9b = 0 + -4

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

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

Divide each side by '-9'.
b = 0.4444444444

Simplifying
b = 0.4444444444
Subproblem 2
Set the factor '(9 + -2b)' equal to zero and attempt to solve:

Simplifying
9 + -2b = 0

Solving
9 + -2b = 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 + -2b = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -2b = 0 + -9
-2b = 0 + -9

Combine like terms: 0 + -9 = -9
-2b = -9

Divide each side by '-2'.
b = 4.5

Simplifying
b = 4.5
Solution
b = {0.4444444444, 4.5}