e^2-15ef+44f^2=0

Solution for e^2-15ef+44f^2=0 equation:

Simplifying
e2 + -15ef + 44f2 = 0

Reorder the terms:
-15ef + e2 + 44f2 = 0

Solving
-15ef + e2 + 44f2 = 0

Solving for variable 'e'.

Factor a trinomial.
(e + -11f)(e + -4f) = 0

Subproblem 1
Set the factor '(e + -11f)' equal to zero and attempt to solve:

Simplifying
e + -11f = 0

Solving
e + -11f = 0

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

Add '11f' to each side of the equation.
e + -11f + 11f = 0 + 11f

Combine like terms: -11f + 11f = 0
e + 0 = 0 + 11f
e = 0 + 11f
Remove the zero:
e = 11f

Simplifying
e = 11f
Subproblem 2
Set the factor '(e + -4f)' equal to zero and attempt to solve:

Simplifying
e + -4f = 0

Solving
e + -4f = 0

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

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

Combine like terms: -4f + 4f = 0
e + 0 = 0 + 4f
e = 0 + 4f
Remove the zero:
e = 4f

Simplifying
e = 4f
Solution
e = {11f, 4f}