(24+-4b+(-18b+3b^2))=0

Solution for (24+-4b+(-18b+3b^2))=0 equation:

Simplifying
(24 + -4b + (-18b + 3b2)) = 0

Remove parenthesis around (-18b + 3b2)
(24 + -4b + -18b + 3b2) = 0

Combine like terms: -4b + -18b = -22b
(24 + -22b + 3b2) = 0

Remove parenthesis around (24 + -22b + 3b2)
24 + -22b + 3b2 = 0

Solving
24 + -22b + 3b2 = 0

Solving for variable 'b'.

Factor a trinomial.
(4 + -3b)(6 + -1b) = 0

Subproblem 1
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
Subproblem 2
Set the factor '(6 + -1b)' equal to zero and attempt to solve:

Simplifying
6 + -1b = 0

Solving
6 + -1b = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1b = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1b = 0 + -6
-1b = 0 + -6

Combine like terms: 0 + -6 = -6
-1b = -6

Divide each side by '-1'.
b = 6

Simplifying
b = 6
Solution
b = {1.333333333, 6}