112b^2+34b-6=0

Solution for 112b^2+34b-6=0 equation:

Simplifying
112b2 + 34b + -6 = 0

Reorder the terms:
-6 + 34b + 112b2 = 0

Solving
-6 + 34b + 112b2 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-3 + 17b + 56b2) = 0

Factor a trinomial.
2((-3 + -7b)(1 + -8b)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(-3 + -7b)' equal to zero and attempt to solve:

Simplifying
-3 + -7b = 0

Solving
-3 + -7b = 0

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

Add '3' to each side of the equation.
-3 + 3 + -7b = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -7b = 0 + 3
-7b = 0 + 3

Combine like terms: 0 + 3 = 3
-7b = 3

Divide each side by '-7'.
b = -0.4285714286

Simplifying
b = -0.4285714286
Subproblem 2
Set the factor '(1 + -8b)' equal to zero and attempt to solve:

Simplifying
1 + -8b = 0

Solving
1 + -8b = 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 + -8b = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -8b = 0 + -1
-8b = 0 + -1

Combine like terms: 0 + -1 = -1
-8b = -1

Divide each side by '-8'.
b = 0.125

Simplifying
b = 0.125
Solution
b = {-0.4285714286, 0.125}