49b^2+84b+32=0

Solution for 49b^2+84b+32=0 equation:

Simplifying
49b2 + 84b + 32 = 0

Reorder the terms:
32 + 84b + 49b2 = 0

Solving
32 + 84b + 49b2 = 0

Solving for variable 'b'.

Factor a trinomial.
(8 + 7b)(4 + 7b) = 0

Subproblem 1
Set the factor '(8 + 7b)' equal to zero and attempt to solve:

Simplifying
8 + 7b = 0

Solving
8 + 7b = 0

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

Add '-8' to each side of the equation.
8 + -8 + 7b = 0 + -8

Combine like terms: 8 + -8 = 0
0 + 7b = 0 + -8
7b = 0 + -8

Combine like terms: 0 + -8 = -8
7b = -8

Divide each side by '7'.
b = -1.142857143

Simplifying
b = -1.142857143
Subproblem 2
Set the factor '(4 + 7b)' equal to zero and attempt to solve:

Simplifying
4 + 7b = 0

Solving
4 + 7b = 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 + 7b = 0 + -4

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

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

Divide each side by '7'.
b = -0.5714285714

Simplifying
b = -0.5714285714
Solution
b = {-1.142857143, -0.5714285714}