9t^2=-45t

Solution for 9t^2=-45t equation:

Simplifying
9t2 = -45t

Solving
9t2 = -45t

Solving for variable 't'.

Reorder the terms:
45t + 9t2 = -45t + 45t

Combine like terms: -45t + 45t = 0
45t + 9t2 = 0

Factor out the Greatest Common Factor (GCF), '9t'.
9t(5 + t) = 0

Ignore the factor 9.
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 '(5 + t)' equal to zero and attempt to solve:

Simplifying
5 + t = 0

Solving
5 + t = 0

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

Add '-5' to each side of the equation.
5 + -5 + t = 0 + -5

Combine like terms: 5 + -5 = 0
0 + t = 0 + -5
t = 0 + -5

Combine like terms: 0 + -5 = -5
t = -5

Simplifying
t = -5
Solution
t = {0, -5}