0=3b^2-6b+3

Solution for 0=3b^2-6b+3 equation:

Simplifying
0 = 3b2 + -6b + 3

Reorder the terms:
0 = 3 + -6b + 3b2

Solving
0 = 3 + -6b + 3b2

Solving for variable 'b'.

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

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

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

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

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

Factor out the Greatest Common Factor (GCF), '3'.
3(-1 + 2b + -1b2) = 0

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

Ignore the factor 3.
Subproblem 1
Set the factor '(-1 + b)' equal to zero and attempt to solve:

Simplifying
-1 + b = 0

Solving
-1 + b = 0

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

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

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

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

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

Simplifying
1 + -1b = 0

Solving
1 + -1b = 0

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

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

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

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

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

Simplifying
b = 1
Solution
b = {1, 1}