-14t^3-11t^2-2t=0

Solution for -14t^3-11t^2-2t=0 equation:

Simplifying
-14t3 + -11t2 + -2t = 0

Reorder the terms:
-2t + -11t2 + -14t3 = 0

Solving
-2t + -11t2 + -14t3 = 0

Solving for variable 't'.

Factor out the Greatest Common Factor (GCF), '-1t'.
-1t(2 + 11t + 14t2) = 0

Factor a trinomial.
-1t((1 + 2t)(2 + 7t)) = 0

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

Simplifying
t = 0

Solving
t = 0

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

Simplifying
t = 0
Subproblem 2
Set the factor '(1 + 2t)' equal to zero and attempt to solve:

Simplifying
1 + 2t = 0

Solving
1 + 2t = 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 + 2t = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 2t = 0 + -1
2t = 0 + -1

Combine like terms: 0 + -1 = -1
2t = -1

Divide each side by '2'.
t = -0.5

Simplifying
t = -0.5
Subproblem 3
Set the factor '(2 + 7t)' equal to zero and attempt to solve:

Simplifying
2 + 7t = 0

Solving
2 + 7t = 0

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

Add '-2' to each side of the equation.
2 + -2 + 7t = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 7t = 0 + -2
7t = 0 + -2

Combine like terms: 0 + -2 = -2
7t = -2

Divide each side by '7'.
t = -0.2857142857

Simplifying
t = -0.2857142857
Solution
t = {0, -0.5, -0.2857142857}