8b^2+28b+14=2

Solution for 8b^2+28b+14=2 equation:

Simplifying
8b2 + 28b + 14 = 2

Reorder the terms:
14 + 28b + 8b2 = 2

Solving
14 + 28b + 8b2 = 2

Solving for variable 'b'.

Reorder the terms:
14 + -2 + 28b + 8b2 = 2 + -2

Combine like terms: 14 + -2 = 12
12 + 28b + 8b2 = 2 + -2

Combine like terms: 2 + -2 = 0
12 + 28b + 8b2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(3 + 7b + 2b2) = 0

Factor a trinomial.
4((3 + b)(1 + 2b)) = 0

Ignore the factor 4.
Subproblem 1
Set the factor '(3 + b)' equal to zero and attempt to solve:

Simplifying
3 + b = 0

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

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

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

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

Simplifying
1 + 2b = 0

Solving
1 + 2b = 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 + 2b = 0 + -1

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

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

Divide each side by '2'.
b = -0.5

Simplifying
b = -0.5
Solution
b = {-3, -0.5}