3t^2+14t+11=0

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

Simplifying
3t2 + 14t + 11 = 0

Reorder the terms:
11 + 14t + 3t2 = 0

Solving
11 + 14t + 3t2 = 0

Solving for variable 't'.

Factor a trinomial.
(11 + 3t)(1 + t) = 0

Subproblem 1
Set the factor '(11 + 3t)' equal to zero and attempt to solve:

Simplifying
11 + 3t = 0

Solving
11 + 3t = 0

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

Add '-11' to each side of the equation.
11 + -11 + 3t = 0 + -11

Combine like terms: 11 + -11 = 0
0 + 3t = 0 + -11
3t = 0 + -11

Combine like terms: 0 + -11 = -11
3t = -11

Divide each side by '3'.
t = -3.666666667

Simplifying
t = -3.666666667
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 = {-3.666666667, -1}