b^2+14b+29=-4

Solution for b^2+14b+29=-4 equation:

Simplifying
b2 + 14b + 29 = -4

Reorder the terms:
29 + 14b + b2 = -4

Solving
29 + 14b + b2 = -4

Solving for variable 'b'.

Reorder the terms:
29 + 4 + 14b + b2 = -4 + 4

Combine like terms: 29 + 4 = 33
33 + 14b + b2 = -4 + 4

Combine like terms: -4 + 4 = 0
33 + 14b + b2 = 0

Factor a trinomial.
(11 + b)(3 + b) = 0

Subproblem 1
Set the factor '(11 + b)' equal to zero and attempt to solve:

Simplifying
11 + b = 0

Solving
11 + b = 0

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

Add '-11' to each side of the equation.
11 + -11 + b = 0 + -11

Combine like terms: 11 + -11 = 0
0 + b = 0 + -11
b = 0 + -11

Combine like terms: 0 + -11 = -11
b = -11

Simplifying
b = -11
Subproblem 2
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
Solution
b = {-11, -3}