13b^2+58b+24=0

Solution for 13b^2+58b+24=0 equation:

Simplifying
13b2 + 58b + 24 = 0

Reorder the terms:
24 + 58b + 13b2 = 0

Solving
24 + 58b + 13b2 = 0

Solving for variable 'b'.

Factor a trinomial.
(4 + b)(6 + 13b) = 0

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

Simplifying
4 + b = 0

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

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

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

Simplifying
b = -4
Subproblem 2
Set the factor '(6 + 13b)' equal to zero and attempt to solve:

Simplifying
6 + 13b = 0

Solving
6 + 13b = 0

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

Add '-6' to each side of the equation.
6 + -6 + 13b = 0 + -6

Combine like terms: 6 + -6 = 0
0 + 13b = 0 + -6
13b = 0 + -6

Combine like terms: 0 + -6 = -6
13b = -6

Divide each side by '13'.
b = -0.4615384615

Simplifying
b = -0.4615384615
Solution
b = {-4, -0.4615384615}