p^2+30p+29=0

Solution for p^2+30p+29=0 equation:

Simplifying
p2 + 30p + 29 = 0

Reorder the terms:
29 + 30p + p2 = 0

Solving
29 + 30p + p2 = 0

Solving for variable 'p'.

Factor a trinomial.
(29 + p)(1 + p) = 0

Subproblem 1
Set the factor '(29 + p)' equal to zero and attempt to solve:

Simplifying
29 + p = 0

Solving
29 + p = 0

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

Add '-29' to each side of the equation.
29 + -29 + p = 0 + -29

Combine like terms: 29 + -29 = 0
0 + p = 0 + -29
p = 0 + -29

Combine like terms: 0 + -29 = -29
p = -29

Simplifying
p = -29
Subproblem 2
Set the factor '(1 + p)' equal to zero and attempt to solve:

Simplifying
1 + p = 0

Solving
1 + p = 0

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

Add '-1' to each side of the equation.
1 + -1 + p = 0 + -1

Combine like terms: 1 + -1 = 0
0 + p = 0 + -1
p = 0 + -1

Combine like terms: 0 + -1 = -1
p = -1

Simplifying
p = -1
Solution
p = {-29, -1}