b^2-8b+3=3

Solution for b^2-8b+3=3 equation:

Simplifying
b2 + -8b + 3 = 3

Reorder the terms:
3 + -8b + b2 = 3

Add '-3' to each side of the equation.
3 + -8b + -3 + b2 = 3 + -3

Reorder the terms:
3 + -3 + -8b + b2 = 3 + -3

Combine like terms: 3 + -3 = 0
0 + -8b + b2 = 3 + -3
-8b + b2 = 3 + -3

Combine like terms: 3 + -3 = 0
-8b + b2 = 0

Solving
-8b + b2 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), 'b'.
b(-8 + b) = 0

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 '(-8 + b)' equal to zero and attempt to solve:

Simplifying
-8 + b = 0

Solving
-8 + b = 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 + b = 0 + 8

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

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

Simplifying
b = 8
Solution
b = {0, 8}