20=t(t-8)

Solution for 20=t(t-8) equation:

Simplifying
20 = t(t + -8)

Reorder the terms:
20 = t(-8 + t)
20 = (-8 * t + t * t)
20 = (-8t + t2)

Solving
20 = -8t + t2

Solving for variable 't'.

Reorder the terms:
20 + 8t + -1t2 = -8t + 8t + t2 + -1t2

Combine like terms: -8t + 8t = 0
20 + 8t + -1t2 = 0 + t2 + -1t2
20 + 8t + -1t2 = t2 + -1t2

Combine like terms: t2 + -1t2 = 0
20 + 8t + -1t2 = 0

Factor a trinomial.
(10 + -1t)(2 + t) = 0

Subproblem 1
Set the factor '(10 + -1t)' equal to zero and attempt to solve:

Simplifying
10 + -1t = 0

Solving
10 + -1t = 0

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

Add '-10' to each side of the equation.
10 + -10 + -1t = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -1t = 0 + -10
-1t = 0 + -10

Combine like terms: 0 + -10 = -10
-1t = -10

Divide each side by '-1'.
t = 10

Simplifying
t = 10
Subproblem 2
Set the factor '(2 + t)' equal to zero and attempt to solve:

Simplifying
2 + t = 0

Solving
2 + t = 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 + t = 0 + -2

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

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

Simplifying
t = -2
Solution
t = {10, -2}