-30t^2-11t+30=0

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

Simplifying
-30t2 + -11t + 30 = 0

Reorder the terms:
30 + -11t + -30t2 = 0

Solving
30 + -11t + -30t2 = 0

Solving for variable 't'.

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

Subproblem 1
Set the factor '(5 + -6t)' equal to zero and attempt to solve:

Simplifying
5 + -6t = 0

Solving
5 + -6t = 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 + -6t = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -6t = 0 + -5
-6t = 0 + -5

Combine like terms: 0 + -5 = -5
-6t = -5

Divide each side by '-6'.
t = 0.8333333333

Simplifying
t = 0.8333333333
Subproblem 2
Set the factor '(6 + 5t)' equal to zero and attempt to solve:

Simplifying
6 + 5t = 0

Solving
6 + 5t = 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 + 5t = 0 + -6

Combine like terms: 6 + -6 = 0
0 + 5t = 0 + -6
5t = 0 + -6

Combine like terms: 0 + -6 = -6
5t = -6

Divide each side by '5'.
t = -1.2

Simplifying
t = -1.2
Solution
t = {0.8333333333, -1.2}