t^2=8t

Solution for t^2=8t equation:

Simplifying
t2 = 8t

Solving
t2 = 8t

Solving for variable 't'.

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

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

Factor out the Greatest Common Factor (GCF), 't'.
t(-8 + t) = 0

Subproblem 1
Set the factor 't' equal to zero and attempt to solve:

Simplifying
t = 0

Solving
t = 0

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

Simplifying
t = 0
Subproblem 2
Set the factor '(-8 + t)' equal to zero and attempt to solve:

Simplifying
-8 + t = 0

Solving
-8 + t = 0

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

Add '8' to each side of the equation.
-8 + 8 + t = 0 + 8

Combine like terms: -8 + 8 = 0
0 + t = 0 + 8
t = 0 + 8

Combine like terms: 0 + 8 = 8
t = 8

Simplifying
t = 8
Solution
t = {0, 8}