t^2-11t+36=t

Solution for t^2-11t+36=t equation:

Simplifying
t2 + -11t + 36 = t

Reorder the terms:
36 + -11t + t2 = t

Solving
36 + -11t + t2 = t

Solving for variable 't'.

Reorder the terms:
36 + -11t + -1t + t2 = t + -1t

Combine like terms: -11t + -1t = -12t
36 + -12t + t2 = t + -1t

Combine like terms: t + -1t = 0
36 + -12t + t2 = 0

Factor a trinomial.
(6 + -1t)(6 + -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 '(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
Solution
t = {6, 6}