4e^2-20e+25=

Solution for 4e^2-20e+25= equation:

Simplifying
4e2 + -20e + 25 = 0

Reorder the terms:
25 + -20e + 4e2 = 0

Solving
25 + -20e + 4e2 = 0

Solving for variable 'e'.

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

Subproblem 1
Set the factor '(5 + -2e)' equal to zero and attempt to solve:

Simplifying
5 + -2e = 0

Solving
5 + -2e = 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 + -2e = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -2e = 0 + -5
-2e = 0 + -5

Combine like terms: 0 + -5 = -5
-2e = -5

Divide each side by '-2'.
e = 2.5

Simplifying
e = 2.5
Subproblem 2
Set the factor '(5 + -2e)' equal to zero and attempt to solve:

Simplifying
5 + -2e = 0

Solving
5 + -2e = 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 + -2e = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -2e = 0 + -5
-2e = 0 + -5

Combine like terms: 0 + -5 = -5
-2e = -5

Divide each side by '-2'.
e = 2.5

Simplifying
e = 2.5
Solution
e = {2.5, 2.5}