2n^2-30n+100n=0

Solution for 2n^2-30n+100n=0 equation:

Simplifying
2n2 + -30n + 100n = 0

Reorder the terms:
-30n + 100n + 2n2 = 0

Combine like terms: -30n + 100n = 70n
70n + 2n2 = 0

Solving
70n + 2n2 = 0

Solving for variable 'n'.

Factor out the Greatest Common Factor (GCF), '2n'.
2n(35 + n) = 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 '(35 + n)' equal to zero and attempt to solve:

Simplifying
35 + n = 0

Solving
35 + n = 0

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

Add '-35' to each side of the equation.
35 + -35 + n = 0 + -35

Combine like terms: 35 + -35 = 0
0 + n = 0 + -35
n = 0 + -35

Combine like terms: 0 + -35 = -35
n = -35

Simplifying
n = -35
Solution
n = {0, -35}