15e^2+6e=

Solution for 15e^2+6e= equation:

Simplifying
15e2 + 6e = 0

Reorder the terms:
6e + 15e2 = 0

Solving
6e + 15e2 = 0

Solving for variable 'e'.

Factor out the Greatest Common Factor (GCF), '3e'.
3e(2 + 5e) = 0

Ignore the factor 3.
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 '(2 + 5e)' equal to zero and attempt to solve:

Simplifying
2 + 5e = 0

Solving
2 + 5e = 0

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

Add '-2' to each side of the equation.
2 + -2 + 5e = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 5e = 0 + -2
5e = 0 + -2

Combine like terms: 0 + -2 = -2
5e = -2

Divide each side by '5'.
e = -0.4

Simplifying
e = -0.4
Solution
e = {0, -0.4}