30b^2+49b+4=-16

Solution for 30b^2+49b+4=-16 equation:

Simplifying
30b2 + 49b + 4 = -16

Reorder the terms:
4 + 49b + 30b2 = -16

Solving
4 + 49b + 30b2 = -16

Solving for variable 'b'.

Reorder the terms:
4 + 16 + 49b + 30b2 = -16 + 16

Combine like terms: 4 + 16 = 20
20 + 49b + 30b2 = -16 + 16

Combine like terms: -16 + 16 = 0
20 + 49b + 30b2 = 0

Factor a trinomial.
(5 + 6b)(4 + 5b) = 0

Subproblem 1
Set the factor '(5 + 6b)' equal to zero and attempt to solve:

Simplifying
5 + 6b = 0

Solving
5 + 6b = 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 + 6b = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 6b = 0 + -5
6b = 0 + -5

Combine like terms: 0 + -5 = -5
6b = -5

Divide each side by '6'.
b = -0.8333333333

Simplifying
b = -0.8333333333
Subproblem 2
Set the factor '(4 + 5b)' equal to zero and attempt to solve:

Simplifying
4 + 5b = 0

Solving
4 + 5b = 0

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

Add '-4' to each side of the equation.
4 + -4 + 5b = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 5b = 0 + -4
5b = 0 + -4

Combine like terms: 0 + -4 = -4
5b = -4

Divide each side by '5'.
b = -0.8

Simplifying
b = -0.8
Solution
b = {-0.8333333333, -0.8}