t^2-90t+1881=0

Solution for t^2-90t+1881=0 equation:

Simplifying
t2 + -90t + 1881 = 0

Reorder the terms:
1881 + -90t + t2 = 0

Solving
1881 + -90t + t2 = 0

Solving for variable 't'.

Factor a trinomial.
(33 + -1t)(57 + -1t) = 0

Subproblem 1
Set the factor '(33 + -1t)' equal to zero and attempt to solve:

Simplifying
33 + -1t = 0

Solving
33 + -1t = 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 + -1t = 0 + -33

Combine like terms: 33 + -33 = 0
0 + -1t = 0 + -33
-1t = 0 + -33

Combine like terms: 0 + -33 = -33
-1t = -33

Divide each side by '-1'.
t = 33

Simplifying
t = 33
Subproblem 2
Set the factor '(57 + -1t)' equal to zero and attempt to solve:

Simplifying
57 + -1t = 0

Solving
57 + -1t = 0

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

Add '-57' to each side of the equation.
57 + -57 + -1t = 0 + -57

Combine like terms: 57 + -57 = 0
0 + -1t = 0 + -57
-1t = 0 + -57

Combine like terms: 0 + -57 = -57
-1t = -57

Divide each side by '-1'.
t = 57

Simplifying
t = 57
Solution
t = {33, 57}