6b^2-28b-10=0

Solution for 6b^2-28b-10=0 equation:

Simplifying
6b2 + -28b + -10 = 0

Reorder the terms:
-10 + -28b + 6b2 = 0

Solving
-10 + -28b + 6b2 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-5 + -14b + 3b2) = 0

Factor a trinomial.
2((-1 + -3b)(5 + -1b)) = 0

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

Simplifying
-1 + -3b = 0

Solving
-1 + -3b = 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 + -3b = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -3b = 0 + 1
-3b = 0 + 1

Combine like terms: 0 + 1 = 1
-3b = 1

Divide each side by '-3'.
b = -0.3333333333

Simplifying
b = -0.3333333333
Subproblem 2
Set the factor '(5 + -1b)' equal to zero and attempt to solve:

Simplifying
5 + -1b = 0

Solving
5 + -1b = 0

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

Add '-5' to each side of the equation.
5 + -5 + -1b = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1b = 0 + -5
-1b = 0 + -5

Combine like terms: 0 + -5 = -5
-1b = -5

Divide each side by '-1'.
b = 5

Simplifying
b = 5
Solution
b = {-0.3333333333, 5}