5t^2-4t-9=0

Solution for 5t^2-4t-9=0 equation:

Simplifying
5t2 + -4t + -9 = 0

Reorder the terms:
-9 + -4t + 5t2 = 0

Solving
-9 + -4t + 5t2 = 0

Solving for variable 't'.

Factor a trinomial.
(-1 + -1t)(9 + -5t) = 0

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

Simplifying
-1 + -1t = 0

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

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

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

Divide each side by '-1'.
t = -1

Simplifying
t = -1
Subproblem 2
Set the factor '(9 + -5t)' equal to zero and attempt to solve:

Simplifying
9 + -5t = 0

Solving
9 + -5t = 0

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

Add '-9' to each side of the equation.
9 + -9 + -5t = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -5t = 0 + -9
-5t = 0 + -9

Combine like terms: 0 + -9 = -9
-5t = -9

Divide each side by '-5'.
t = 1.8

Simplifying
t = 1.8
Solution
t = {-1, 1.8}