-t^4-11t^3-30t^2=0

Solution for -t^4-11t^3-30t^2=0 equation:

Simplifying
-1t4 + -11t3 + -30t2 = 0

Reorder the terms:
-30t2 + -11t3 + -1t4 = 0

Solving
-30t2 + -11t3 + -1t4 = 0

Solving for variable 't'.

Factor out the Greatest Common Factor (GCF), '-1t2'.
-1t2(30 + 11t + t2) = 0

Factor a trinomial.
-1t2((6 + t)(5 + t)) = 0

Ignore the factor -1.
Subproblem 1
Set the factor 't2' equal to zero and attempt to solve:

Simplifying
t2 = 0

Solving
t2 = 0

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

Simplifying
t2 = 0

Take the square root of each side:
t = {0}
Subproblem 2
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 3
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 = {0, -6, -5}