15b^2-65b+50=0

Solution for 15b^2-65b+50=0 equation:

Simplifying
15b2 + -65b + 50 = 0

Reorder the terms:
50 + -65b + 15b2 = 0

Solving
50 + -65b + 15b2 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), '5'.
5(10 + -13b + 3b2) = 0

Factor a trinomial.
5((1 + -1b)(10 + -3b)) = 0

Ignore the factor 5.
Subproblem 1
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
Subproblem 2
Set the factor '(10 + -3b)' equal to zero and attempt to solve:

Simplifying
10 + -3b = 0

Solving
10 + -3b = 0

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

Add '-10' to each side of the equation.
10 + -10 + -3b = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -3b = 0 + -10
-3b = 0 + -10

Combine like terms: 0 + -10 = -10
-3b = -10

Divide each side by '-3'.
b = 3.333333333

Simplifying
b = 3.333333333
Solution
b = {1, 3.333333333}