6t^2+35t+11=0

Solution for 6t^2+35t+11=0 equation:

Simplifying
6t2 + 35t + 11 = 0

Reorder the terms:
11 + 35t + 6t2 = 0

Solving
11 + 35t + 6t2 = 0

Solving for variable 't'.

Factor a trinomial.
(11 + 2t)(1 + 3t) = 0

Subproblem 1
Set the factor '(11 + 2t)' equal to zero and attempt to solve:

Simplifying
11 + 2t = 0

Solving
11 + 2t = 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 + 2t = 0 + -11

Combine like terms: 11 + -11 = 0
0 + 2t = 0 + -11
2t = 0 + -11

Combine like terms: 0 + -11 = -11
2t = -11

Divide each side by '2'.
t = -5.5

Simplifying
t = -5.5
Subproblem 2
Set the factor '(1 + 3t)' equal to zero and attempt to solve:

Simplifying
1 + 3t = 0

Solving
1 + 3t = 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 + 3t = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 3t = 0 + -1
3t = 0 + -1

Combine like terms: 0 + -1 = -1
3t = -1

Divide each side by '3'.
t = -0.3333333333

Simplifying
t = -0.3333333333
Solution
t = {-5.5, -0.3333333333}