(4t^2-45t+99)=0

Solution for (4t^2-45t+99)=0 equation:

Simplifying
(4t2 + -45t + 99) = 0

Reorder the terms:
(99 + -45t + 4t2) = 0

Remove parenthesis around (99 + -45t + 4t2)
99 + -45t + 4t2 = 0

Solving
99 + -45t + 4t2 = 0

Solving for variable 't'.

Factor a trinomial.
(3 + -1t)(33 + -4t) = 0

Subproblem 1
Set the factor '(3 + -1t)' equal to zero and attempt to solve:

Simplifying
3 + -1t = 0

Solving
3 + -1t = 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 + -1t = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1t = 0 + -3
-1t = 0 + -3

Combine like terms: 0 + -3 = -3
-1t = -3

Divide each side by '-1'.
t = 3

Simplifying
t = 3
Subproblem 2
Set the factor '(33 + -4t)' equal to zero and attempt to solve:

Simplifying
33 + -4t = 0

Solving
33 + -4t = 0

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

Add '-33' to each side of the equation.
33 + -33 + -4t = 0 + -33

Combine like terms: 33 + -33 = 0
0 + -4t = 0 + -33
-4t = 0 + -33

Combine like terms: 0 + -33 = -33
-4t = -33

Divide each side by '-4'.
t = 8.25

Simplifying
t = 8.25
Solution
t = {3, 8.25}