20e^2-28e+8=0

Solution for 20e^2-28e+8=0 equation:

Simplifying
20e2 + -28e + 8 = 0

Reorder the terms:
8 + -28e + 20e2 = 0

Solving
8 + -28e + 20e2 = 0

Solving for variable 'e'.

Factor out the Greatest Common Factor (GCF), '4'.
4(2 + -7e + 5e2) = 0

Factor a trinomial.
4((2 + -5e)(1 + -1e)) = 0

Ignore the factor 4.
Subproblem 1
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
Subproblem 2
Set the factor '(1 + -1e)' equal to zero and attempt to solve:

Simplifying
1 + -1e = 0

Solving
1 + -1e = 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 + -1e = 0 + -1

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

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

Divide each side by '-1'.
e = 1

Simplifying
e = 1
Solution
e = {0.4, 1}