15=8*t-t^2

Solution for 15=8*t-t^2 equation:

Simplifying
15 = 8t + -1t2

Solving
15 = 8t + -1t2

Solving for variable 't'.

Reorder the terms:
15 + -8t + t2 = 8t + -8t + -1t2 + t2

Combine like terms: 8t + -8t = 0
15 + -8t + t2 = 0 + -1t2 + t2
15 + -8t + t2 = -1t2 + t2

Combine like terms: -1t2 + t2 = 0
15 + -8t + t2 = 0

Factor a trinomial.
(3 + -1t)(5 + -1t) = 0

Subproblem 1
Set the factor '(3 + -1t)' equal to zero and attempt to solve:

Simplifying
3 + -1t = 0

Solving
3 + -1t = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1t = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1t = 0 + -3
-1t = 0 + -3

Combine like terms: 0 + -3 = -3
-1t = -3

Divide each side by '-1'.
t = 3

Simplifying
t = 3
Subproblem 2
Set the factor '(5 + -1t)' equal to zero and attempt to solve:

Simplifying
5 + -1t = 0

Solving
5 + -1t = 0

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

Add '-5' to each side of the equation.
5 + -5 + -1t = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1t = 0 + -5
-1t = 0 + -5

Combine like terms: 0 + -5 = -5
-1t = -5

Divide each side by '-1'.
t = 5

Simplifying
t = 5
Solution
t = {3, 5}