t^2+30t+29=0

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

Simplifying
t2 + 30t + 29 = 0

Reorder the terms:
29 + 30t + t2 = 0

Solving
29 + 30t + t2 = 0

Solving for variable 't'.

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

Subproblem 1
Set the factor '(29 + t)' equal to zero and attempt to solve:

Simplifying
29 + t = 0

Solving
29 + t = 0

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

Add '-29' to each side of the equation.
29 + -29 + t = 0 + -29

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

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

Simplifying
t = -29
Subproblem 2
Set the factor '(1 + t)' equal to zero and attempt to solve:

Simplifying
1 + t = 0

Solving
1 + t = 0

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

Add '-1' to each side of the equation.
1 + -1 + t = 0 + -1

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

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

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