t^2+27t=0

Solution for t^2+27t=0 equation:

Simplifying
t2 + 27t = 0

Reorder the terms:
27t + t2 = 0

Solving
27t + t2 = 0

Solving for variable 't'.

Factor out the Greatest Common Factor (GCF), 't'.
t(27 + 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 '(27 + t)' equal to zero and attempt to solve:

Simplifying
27 + t = 0

Solving
27 + t = 0

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

Add '-27' to each side of the equation.
27 + -27 + t = 0 + -27

Combine like terms: 27 + -27 = 0
0 + t = 0 + -27
t = 0 + -27

Combine like terms: 0 + -27 = -27
t = -27

Simplifying
t = -27
Solution
t = {0, -27}