5(e^2)-2(e^1)=

Solution for 5(e^2)-2(e^1)= equation:

Simplifying
5(e2) + -2(e) = 0

Reorder the terms:
-2e + 5e2 = 0

Solving
-2e + 5e2 = 0

Solving for variable 'e'.

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

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}