6b^2-12b+3=3

Solution for 6b^2-12b+3=3 equation:

Simplifying
6b2 + -12b + 3 = 3

Reorder the terms:
3 + -12b + 6b2 = 3

Add '-3' to each side of the equation.
3 + -12b + -3 + 6b2 = 3 + -3

Reorder the terms:
3 + -3 + -12b + 6b2 = 3 + -3

Combine like terms: 3 + -3 = 0
0 + -12b + 6b2 = 3 + -3
-12b + 6b2 = 3 + -3

Combine like terms: 3 + -3 = 0
-12b + 6b2 = 0

Solving
-12b + 6b2 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), '6b'.
6b(-2 + 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 '(-2 + b)' equal to zero and attempt to solve:

Simplifying
-2 + b = 0

Solving
-2 + b = 0

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

Add '2' to each side of the equation.
-2 + 2 + b = 0 + 2

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

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

Simplifying
b = 2
Solution
b = {0, 2}