-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.
(6 + -5t)(5 + 6t) = 0

Subproblem 1
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
Subproblem 2
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
Solution
t = {1.2, -0.8333333333}