-t^2-28t-27=

Solution for -t^2-28t-27= equation:

Simplifying
-1t2 + -28t + -27 = 0

Reorder the terms:
-27 + -28t + -1t2 = 0

Solving
-27 + -28t + -1t2 = 0

Solving for variable 't'.

Factor out the Greatest Common Factor (GCF), '-1'.
-1(27 + 28t + t2) = 0

Factor a trinomial.
-1((27 + t)(1 + t)) = 0

Ignore the factor -1.
Subproblem 1
Set the factor '(27 + t)' equal to zero and attempt to solve:

Simplifying
27 + t = 0

Solving
27 + t = 0

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

Add '-27' to each side of the equation.
27 + -27 + t = 0 + -27

Combine like terms: 27 + -27 = 0
0 + t = 0 + -27
t = 0 + -27

Combine like terms: 0 + -27 = -27
t = -27

Simplifying
t = -27
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 = {-27, -1}