9e(2e+6)=

Solution for 9e(2e+6)= equation:

Simplifying
9e(2e + 6) = 0

Reorder the terms:
9e(6 + 2e) = 0
(6 * 9e + 2e * 9e) = 0
(54e + 18e2) = 0

Solving
54e + 18e2 = 0

Solving for variable 'e'.

Factor out the Greatest Common Factor (GCF), '18e'.
18e(3 + e) = 0

Ignore the factor 18.
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 '(3 + e)' equal to zero and attempt to solve:

Simplifying
3 + e = 0

Solving
3 + e = 0

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

Add '-3' to each side of the equation.
3 + -3 + e = 0 + -3

Combine like terms: 3 + -3 = 0
0 + e = 0 + -3
e = 0 + -3

Combine like terms: 0 + -3 = -3
e = -3

Simplifying
e = -3
Solution
e = {0, -3}