240=t^2-t

Solution for 240=t^2-t equation:

Simplifying
240 = t2 + -1t

Reorder the terms:
240 = -1t + t2

Solving
240 = -1t + t2

Solving for variable 't'.

Reorder the terms:
240 + t + -1t2 = -1t + t + t2 + -1t2

Combine like terms: -1t + t = 0
240 + t + -1t2 = 0 + t2 + -1t2
240 + t + -1t2 = t2 + -1t2

Combine like terms: t2 + -1t2 = 0
240 + t + -1t2 = 0

Factor a trinomial.
(16 + -1t)(15 + t) = 0

Subproblem 1
Set the factor '(16 + -1t)' equal to zero and attempt to solve:

Simplifying
16 + -1t = 0

Solving
16 + -1t = 0

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

Add '-16' to each side of the equation.
16 + -16 + -1t = 0 + -16

Combine like terms: 16 + -16 = 0
0 + -1t = 0 + -16
-1t = 0 + -16

Combine like terms: 0 + -16 = -16
-1t = -16

Divide each side by '-1'.
t = 16

Simplifying
t = 16
Subproblem 2
Set the factor '(15 + t)' equal to zero and attempt to solve:

Simplifying
15 + t = 0

Solving
15 + t = 0

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

Add '-15' to each side of the equation.
15 + -15 + t = 0 + -15

Combine like terms: 15 + -15 = 0
0 + t = 0 + -15
t = 0 + -15

Combine like terms: 0 + -15 = -15
t = -15

Simplifying
t = -15
Solution
t = {16, -15}