9t^2-49t+20=0

Solution for 9t^2-49t+20=0 equation:

Simplifying
9t2 + -49t + 20 = 0

Reorder the terms:
20 + -49t + 9t2 = 0

Solving
20 + -49t + 9t2 = 0

Solving for variable 't'.

Factor a trinomial.
(4 + -9t)(5 + -1t) = 0

Subproblem 1
Set the factor '(4 + -9t)' equal to zero and attempt to solve:

Simplifying
4 + -9t = 0

Solving
4 + -9t = 0

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

Add '-4' to each side of the equation.
4 + -4 + -9t = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -9t = 0 + -4
-9t = 0 + -4

Combine like terms: 0 + -4 = -4
-9t = -4

Divide each side by '-9'.
t = 0.4444444444

Simplifying
t = 0.4444444444
Subproblem 2
Set the factor '(5 + -1t)' equal to zero and attempt to solve:

Simplifying
5 + -1t = 0

Solving
5 + -1t = 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 + -1t = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1t = 0 + -5
-1t = 0 + -5

Combine like terms: 0 + -5 = -5
-1t = -5

Divide each side by '-1'.
t = 5

Simplifying
t = 5
Solution
t = {0.4444444444, 5}