7e^2-28e^3=0

Solution for 7e^2-28e^3=0 equation:

Simplifying
7e2 + -28e3 = 0

Solving
7e2 + -28e3 = 0

Solving for variable 'e'.

Factor out the Greatest Common Factor (GCF), '7e2'.
7e2(1 + -4e) = 0

Ignore the factor 7.
Subproblem 1
Set the factor 'e2' equal to zero and attempt to solve:

Simplifying
e2 = 0

Solving
e2 = 0

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

Simplifying
e2 = 0

Take the square root of each side:
e = {0}
Subproblem 2
Set the factor '(1 + -4e)' equal to zero and attempt to solve:

Simplifying
1 + -4e = 0

Solving
1 + -4e = 0

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

Add '-1' to each side of the equation.
1 + -1 + -4e = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -4e = 0 + -1
-4e = 0 + -1

Combine like terms: 0 + -1 = -1
-4e = -1

Divide each side by '-4'.
e = 0.25

Simplifying
e = 0.25
Solution
e = {0, 0.25}