6b^2-13b+3=3

Solution for 6b^2-13b+3=3 equation:

Simplifying
6b2 + -13b + 3 = 3

Reorder the terms:
3 + -13b + 6b2 = 3

Add '-3' to each side of the equation.
3 + -13b + -3 + 6b2 = 3 + -3

Reorder the terms:
3 + -3 + -13b + 6b2 = 3 + -3

Combine like terms: 3 + -3 = 0
0 + -13b + 6b2 = 3 + -3
-13b + 6b2 = 3 + -3

Combine like terms: 3 + -3 = 0
-13b + 6b2 = 0

Solving
-13b + 6b2 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), 'b'.
b(-13 + 6b) = 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 '(-13 + 6b)' equal to zero and attempt to solve:

Simplifying
-13 + 6b = 0

Solving
-13 + 6b = 0

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

Add '13' to each side of the equation.
-13 + 13 + 6b = 0 + 13

Combine like terms: -13 + 13 = 0
0 + 6b = 0 + 13
6b = 0 + 13

Combine like terms: 0 + 13 = 13
6b = 13

Divide each side by '6'.
b = 2.166666667

Simplifying
b = 2.166666667
Solution
b = {0, 2.166666667}