-5e^2+30e=0

Solution for -5e^2+30e=0 equation:

Simplifying
-5e2 + 30e = 0

Reorder the terms:
30e + -5e2 = 0

Solving
30e + -5e2 = 0

Solving for variable 'e'.

Factor out the Greatest Common Factor (GCF), '5e'.
5e(6 + -1e) = 0

Ignore the factor 5.
Subproblem 1
Set the factor 'e' equal to zero and attempt to solve:

Simplifying
e = 0

Solving
e = 0

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

Simplifying
e = 0
Subproblem 2
Set the factor '(6 + -1e)' equal to zero and attempt to solve:

Simplifying
6 + -1e = 0

Solving
6 + -1e = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1e = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1e = 0 + -6
-1e = 0 + -6

Combine like terms: 0 + -6 = -6
-1e = -6

Divide each side by '-1'.
e = 6

Simplifying
e = 6
Solution
e = {0, 6}