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}