7e+4e(2-3e)=

Solution for 7e+4e(2-3e)= equation:

Simplifying
7e + 4e(2 + -3e) = 0
7e + (2 * 4e + -3e * 4e) = 0
7e + (8e + -12e2) = 0

Combine like terms: 7e + 8e = 15e
15e + -12e2 = 0

Solving
15e + -12e2 = 0

Solving for variable 'e'.

Factor out the Greatest Common Factor (GCF), '3e'.
3e(5 + -4e) = 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 '(5 + -4e)' equal to zero and attempt to solve:

Simplifying
5 + -4e = 0

Solving
5 + -4e = 0

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

Add '-5' to each side of the equation.
5 + -5 + -4e = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -4e = 0 + -5
-4e = 0 + -5

Combine like terms: 0 + -5 = -5
-4e = -5

Divide each side by '-4'.
e = 1.25

Simplifying
e = 1.25
Solution
e = {0, 1.25}