18b^4-228b^3+480b^2=

Solution for 18b^4-228b^3+480b^2= equation:

Simplifying
18b4 + -228b3 + 480b2 = 0

Reorder the terms:
480b2 + -228b3 + 18b4 = 0

Solving
480b2 + -228b3 + 18b4 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), '6b2'.
6b2(80 + -38b + 3b2) = 0

Factor a trinomial.
6b2((8 + -3b)(10 + -1b)) = 0

Ignore the factor 6.
Subproblem 1
Set the factor 'b2' equal to zero and attempt to solve:

Simplifying
b2 = 0

Solving
b2 = 0

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

Simplifying
b2 = 0

Take the square root of each side:
b = {0}
Subproblem 2
Set the factor '(8 + -3b)' equal to zero and attempt to solve:

Simplifying
8 + -3b = 0

Solving
8 + -3b = 0

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

Add '-8' to each side of the equation.
8 + -8 + -3b = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -3b = 0 + -8
-3b = 0 + -8

Combine like terms: 0 + -8 = -8
-3b = -8

Divide each side by '-3'.
b = 2.666666667

Simplifying
b = 2.666666667
Subproblem 3
Set the factor '(10 + -1b)' equal to zero and attempt to solve:

Simplifying
10 + -1b = 0

Solving
10 + -1b = 0

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

Add '-10' to each side of the equation.
10 + -10 + -1b = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -1b = 0 + -10
-1b = 0 + -10

Combine like terms: 0 + -10 = -10
-1b = -10

Divide each side by '-1'.
b = 10

Simplifying
b = 10
Solution
b = {0, 2.666666667, 10}