t^2=-30-11t

Solution for t^2=-30-11t equation:

Simplifying
t2 = -30 + -11t

Solving
t2 = -30 + -11t

Solving for variable 't'.

Reorder the terms:
30 + 11t + t2 = -30 + -11t + 30 + 11t

Reorder the terms:
30 + 11t + t2 = -30 + 30 + -11t + 11t

Combine like terms: -30 + 30 = 0
30 + 11t + t2 = 0 + -11t + 11t
30 + 11t + t2 = -11t + 11t

Combine like terms: -11t + 11t = 0
30 + 11t + t2 = 0

Factor a trinomial.
(6 + t)(5 + t) = 0

Subproblem 1
Set the factor '(6 + t)' equal to zero and attempt to solve:

Simplifying
6 + t = 0

Solving
6 + t = 0

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

Add '-6' to each side of the equation.
6 + -6 + t = 0 + -6

Combine like terms: 6 + -6 = 0
0 + t = 0 + -6
t = 0 + -6

Combine like terms: 0 + -6 = -6
t = -6

Simplifying
t = -6
Subproblem 2
Set the factor '(5 + t)' equal to zero and attempt to solve:

Simplifying
5 + t = 0

Solving
5 + t = 0

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

Add '-5' to each side of the equation.
5 + -5 + t = 0 + -5

Combine like terms: 5 + -5 = 0
0 + t = 0 + -5
t = 0 + -5

Combine like terms: 0 + -5 = -5
t = -5

Simplifying
t = -5
Solution
t = {-6, -5}