t^2+31t=0

Solution for t^2+31t=0 equation:

Simplifying
t2 + 31t = 0

Reorder the terms:
31t + t2 = 0

Solving
31t + t2 = 0

Solving for variable 't'.

Factor out the Greatest Common Factor (GCF), 't'.
t(31 + 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 '(31 + t)' equal to zero and attempt to solve:

Simplifying
31 + t = 0

Solving
31 + t = 0

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

Add '-31' to each side of the equation.
31 + -31 + t = 0 + -31

Combine like terms: 31 + -31 = 0
0 + t = 0 + -31
t = 0 + -31

Combine like terms: 0 + -31 = -31
t = -31

Simplifying
t = -31
Solution
t = {0, -31}