45n^2-90n=

Solution for 45n^2-90n= equation:

Simplifying
45n2 + -90n = 0

Reorder the terms:
-90n + 45n2 = 0

Solving
-90n + 45n2 = 0

Solving for variable 'n'.

Factor out the Greatest Common Factor (GCF), '45n'.
45n(-2 + n) = 0

Ignore the factor 45.
Subproblem 1
Set the factor 'n' equal to zero and attempt to solve:

Simplifying
n = 0

Solving
n = 0

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

Simplifying
n = 0
Subproblem 2
Set the factor '(-2 + n)' equal to zero and attempt to solve:

Simplifying
-2 + n = 0

Solving
-2 + n = 0

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

Add '2' to each side of the equation.
-2 + 2 + n = 0 + 2

Combine like terms: -2 + 2 = 0
0 + n = 0 + 2
n = 0 + 2

Combine like terms: 0 + 2 = 2
n = 2

Simplifying
n = 2
Solution
n = {0, 2}