t^2+50t=0

Solution for t^2+50t=0 equation:

Simplifying
t2 + 50t = 0

Reorder the terms:
50t + t2 = 0

Solving
50t + t2 = 0

Solving for variable 't'.

Factor out the Greatest Common Factor (GCF), 't'.
t(50 + 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 '(50 + t)' equal to zero and attempt to solve:

Simplifying
50 + t = 0

Solving
50 + t = 0

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

Add '-50' to each side of the equation.
50 + -50 + t = 0 + -50

Combine like terms: 50 + -50 = 0
0 + t = 0 + -50
t = 0 + -50

Combine like terms: 0 + -50 = -50
t = -50

Simplifying
t = -50
Solution
t = {0, -50}