-2n(9-10n)=

Solution for -2n(9-10n)= equation:

Simplifying
-2n(9 + -10n) = 0
(9 * -2n + -10n * -2n) = 0
(-18n + 20n2) = 0

Solving
-18n + 20n2 = 0

Solving for variable 'n'.

Factor out the Greatest Common Factor (GCF), '2n'.
2n(-9 + 10n) = 0

Ignore the factor 2.
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 '(-9 + 10n)' equal to zero and attempt to solve:

Simplifying
-9 + 10n = 0

Solving
-9 + 10n = 0

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

Add '9' to each side of the equation.
-9 + 9 + 10n = 0 + 9

Combine like terms: -9 + 9 = 0
0 + 10n = 0 + 9
10n = 0 + 9

Combine like terms: 0 + 9 = 9
10n = 9

Divide each side by '10'.
n = 0.9

Simplifying
n = 0.9
Solution
n = {0, 0.9}