t^2+20t=0

Solution for t^2+20t=0 equation:

Simplifying
t2 + 20t = 0

Reorder the terms:
20t + t2 = 0

Solving
20t + t2 = 0

Solving for variable 't'.

Factor out the Greatest Common Factor (GCF), 't'.
t(20 + 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 '(20 + t)' equal to zero and attempt to solve:

Simplifying
20 + t = 0

Solving
20 + t = 0

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

Add '-20' to each side of the equation.
20 + -20 + t = 0 + -20

Combine like terms: 20 + -20 = 0
0 + t = 0 + -20
t = 0 + -20

Combine like terms: 0 + -20 = -20
t = -20

Simplifying
t = -20
Solution
t = {0, -20}