20t-t^2-36=0

Solution for 20t-t^2-36=0 equation:

Simplifying
20t + -1t2 + -36 = 0

Reorder the terms:
-36 + 20t + -1t2 = 0

Solving
-36 + 20t + -1t2 = 0

Solving for variable 't'.

Factor a trinomial.
(-18 + t)(2 + -1t) = 0

Subproblem 1
Set the factor '(-18 + t)' equal to zero and attempt to solve:

Simplifying
-18 + t = 0

Solving
-18 + t = 0

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

Add '18' to each side of the equation.
-18 + 18 + t = 0 + 18

Combine like terms: -18 + 18 = 0
0 + t = 0 + 18
t = 0 + 18

Combine like terms: 0 + 18 = 18
t = 18

Simplifying
t = 18
Subproblem 2
Set the factor '(2 + -1t)' equal to zero and attempt to solve:

Simplifying
2 + -1t = 0

Solving
2 + -1t = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1t = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1t = 0 + -2
-1t = 0 + -2

Combine like terms: 0 + -2 = -2
-1t = -2

Divide each side by '-1'.
t = 2

Simplifying
t = 2
Solution
t = {18, 2}