24=t^2-2t

Solution for 24=t^2-2t equation:

Simplifying
24 = t2 + -2t

Reorder the terms:
24 = -2t + t2

Solving
24 = -2t + t2

Solving for variable 't'.

Reorder the terms:
24 + 2t + -1t2 = -2t + 2t + t2 + -1t2

Combine like terms: -2t + 2t = 0
24 + 2t + -1t2 = 0 + t2 + -1t2
24 + 2t + -1t2 = t2 + -1t2

Combine like terms: t2 + -1t2 = 0
24 + 2t + -1t2 = 0

Factor a trinomial.
(6 + -1t)(4 + t) = 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 '(4 + t)' equal to zero and attempt to solve:

Simplifying
4 + t = 0

Solving
4 + t = 0

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

Add '-4' to each side of the equation.
4 + -4 + t = 0 + -4

Combine like terms: 4 + -4 = 0
0 + t = 0 + -4
t = 0 + -4

Combine like terms: 0 + -4 = -4
t = -4

Simplifying
t = -4
Solution
t = {6, -4}