t^2+48t=0

Solution for t^2+48t=0 equation:

Simplifying
t2 + 48t = 0

Reorder the terms:
48t + t2 = 0

Solving
48t + t2 = 0

Solving for variable 't'.

Factor out the Greatest Common Factor (GCF), 't'.
t(48 + 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 '(48 + t)' equal to zero and attempt to solve:

Simplifying
48 + t = 0

Solving
48 + t = 0

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

Add '-48' to each side of the equation.
48 + -48 + t = 0 + -48

Combine like terms: 48 + -48 = 0
0 + t = 0 + -48
t = 0 + -48

Combine like terms: 0 + -48 = -48
t = -48

Simplifying
t = -48
Solution
t = {0, -48}