2b^2-16b-34=6

Solution for 2b^2-16b-34=6 equation:

Simplifying
2b2 + -16b + -34 = 6

Reorder the terms:
-34 + -16b + 2b2 = 6

Solving
-34 + -16b + 2b2 = 6

Solving for variable 'b'.

Reorder the terms:
-34 + -6 + -16b + 2b2 = 6 + -6

Combine like terms: -34 + -6 = -40
-40 + -16b + 2b2 = 6 + -6

Combine like terms: 6 + -6 = 0
-40 + -16b + 2b2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-20 + -8b + b2) = 0

Factor a trinomial.
2((-2 + -1b)(10 + -1b)) = 0

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

Simplifying
-2 + -1b = 0

Solving
-2 + -1b = 0

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

Add '2' to each side of the equation.
-2 + 2 + -1b = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -1b = 0 + 2
-1b = 0 + 2

Combine like terms: 0 + 2 = 2
-1b = 2

Divide each side by '-1'.
b = -2

Simplifying
b = -2
Subproblem 2
Set the factor '(10 + -1b)' equal to zero and attempt to solve:

Simplifying
10 + -1b = 0

Solving
10 + -1b = 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 + -1b = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -1b = 0 + -10
-1b = 0 + -10

Combine like terms: 0 + -10 = -10
-1b = -10

Divide each side by '-1'.
b = 10

Simplifying
b = 10
Solution
b = {-2, 10}