20e^2-23e+6=0

Solution for 20e^2-23e+6=0 equation:

Simplifying
20e2 + -23e + 6 = 0

Reorder the terms:
6 + -23e + 20e2 = 0

Solving
6 + -23e + 20e2 = 0

Solving for variable 'e'.

Factor a trinomial.
(2 + -5e)(3 + -4e) = 0

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 '(3 + -4e)' equal to zero and attempt to solve:

Simplifying
3 + -4e = 0

Solving
3 + -4e = 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 + -4e = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -4e = 0 + -3
-4e = 0 + -3

Combine like terms: 0 + -3 = -3
-4e = -3

Divide each side by '-4'.
e = 0.75

Simplifying
e = 0.75
Solution
e = {0.4, 0.75}