7b^2+16b=-4

Solution for 7b^2+16b=-4 equation:

Simplifying
7b2 + 16b = -4

Reorder the terms:
16b + 7b2 = -4

Solving
16b + 7b2 = -4

Solving for variable 'b'.

Reorder the terms:
4 + 16b + 7b2 = -4 + 4

Combine like terms: -4 + 4 = 0
4 + 16b + 7b2 = 0

Factor a trinomial.
(2 + b)(2 + 7b) = 0

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

Simplifying
2 + b = 0

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

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

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

Simplifying
b = -2
Subproblem 2
Set the factor '(2 + 7b)' equal to zero and attempt to solve:

Simplifying
2 + 7b = 0

Solving
2 + 7b = 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 + 7b = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 7b = 0 + -2
7b = 0 + -2

Combine like terms: 0 + -2 = -2
7b = -2

Divide each side by '7'.
b = -0.2857142857

Simplifying
b = -0.2857142857
Solution
b = {-2, -0.2857142857}