t^2+45t=0

Solution for t^2+45t=0 equation:

Simplifying
t2 + 45t = 0

Reorder the terms:
45t + t2 = 0

Solving
45t + t2 = 0

Solving for variable 't'.

Factor out the Greatest Common Factor (GCF), 't'.
t(45 + 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 '(45 + t)' equal to zero and attempt to solve:

Simplifying
45 + t = 0

Solving
45 + t = 0

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

Add '-45' to each side of the equation.
45 + -45 + t = 0 + -45

Combine like terms: 45 + -45 = 0
0 + t = 0 + -45
t = 0 + -45

Combine like terms: 0 + -45 = -45
t = -45

Simplifying
t = -45
Solution
t = {0, -45}