t^2-27t+126=0

Solution for t^2-27t+126=0 equation:

Simplifying
t2 + -27t + 126 = 0

Reorder the terms:
126 + -27t + t2 = 0

Solving
126 + -27t + t2 = 0

Solving for variable 't'.

Factor a trinomial.
(6 + -1t)(21 + -1t) = 0

Subproblem 1
Set the factor '(6 + -1t)' equal to zero and attempt to solve:

Simplifying
6 + -1t = 0

Solving
6 + -1t = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1t = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1t = 0 + -6
-1t = 0 + -6

Combine like terms: 0 + -6 = -6
-1t = -6

Divide each side by '-1'.
t = 6

Simplifying
t = 6
Subproblem 2
Set the factor '(21 + -1t)' equal to zero and attempt to solve:

Simplifying
21 + -1t = 0

Solving
21 + -1t = 0

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

Add '-21' to each side of the equation.
21 + -21 + -1t = 0 + -21

Combine like terms: 21 + -21 = 0
0 + -1t = 0 + -21
-1t = 0 + -21

Combine like terms: 0 + -21 = -21
-1t = -21

Divide each side by '-1'.
t = 21

Simplifying
t = 21
Solution
t = {6, 21}