15t^2+64t+33=0

Solution for 15t^2+64t+33=0 equation:

Simplifying
15t2 + 64t + 33 = 0

Reorder the terms:
33 + 64t + 15t2 = 0

Solving
33 + 64t + 15t2 = 0

Solving for variable 't'.

Factor a trinomial.
(11 + 3t)(3 + 5t) = 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 '(3 + 5t)' equal to zero and attempt to solve:

Simplifying
3 + 5t = 0

Solving
3 + 5t = 0

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

Add '-3' to each side of the equation.
3 + -3 + 5t = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 5t = 0 + -3
5t = 0 + -3

Combine like terms: 0 + -3 = -3
5t = -3

Divide each side by '5'.
t = -0.6

Simplifying
t = -0.6
Solution
t = {-3.666666667, -0.6}