t^2-100t+1875=0

Solution for t^2-100t+1875=0 equation:

Simplifying
t2 + -100t + 1875 = 0

Reorder the terms:
1875 + -100t + t2 = 0

Solving
1875 + -100t + t2 = 0

Solving for variable 't'.

Factor a trinomial.
(25 + -1t)(75 + -1t) = 0

Subproblem 1
Set the factor '(25 + -1t)' equal to zero and attempt to solve:

Simplifying
25 + -1t = 0

Solving
25 + -1t = 0

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

Add '-25' to each side of the equation.
25 + -25 + -1t = 0 + -25

Combine like terms: 25 + -25 = 0
0 + -1t = 0 + -25
-1t = 0 + -25

Combine like terms: 0 + -25 = -25
-1t = -25

Divide each side by '-1'.
t = 25

Simplifying
t = 25
Subproblem 2
Set the factor '(75 + -1t)' equal to zero and attempt to solve:

Simplifying
75 + -1t = 0

Solving
75 + -1t = 0

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

Add '-75' to each side of the equation.
75 + -75 + -1t = 0 + -75

Combine like terms: 75 + -75 = 0
0 + -1t = 0 + -75
-1t = 0 + -75

Combine like terms: 0 + -75 = -75
-1t = -75

Divide each side by '-1'.
t = 75

Simplifying
t = 75
Solution
t = {25, 75}