6b^2-24b+6=6

Solution for 6b^2-24b+6=6 equation:

Simplifying
6b2 + -24b + 6 = 6

Reorder the terms:
6 + -24b + 6b2 = 6

Add '-6' to each side of the equation.
6 + -24b + -6 + 6b2 = 6 + -6

Reorder the terms:
6 + -6 + -24b + 6b2 = 6 + -6

Combine like terms: 6 + -6 = 0
0 + -24b + 6b2 = 6 + -6
-24b + 6b2 = 6 + -6

Combine like terms: 6 + -6 = 0
-24b + 6b2 = 0

Solving
-24b + 6b2 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), '6b'.
6b(-4 + b) = 0

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

Simplifying
b = 0

Solving
b = 0

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

Simplifying
b = 0
Subproblem 2
Set the factor '(-4 + b)' equal to zero and attempt to solve:

Simplifying
-4 + b = 0

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

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

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

Simplifying
b = 4
Solution
b = {0, 4}