e^2-10e+9=0

Solution for e^2-10e+9=0 equation:

Simplifying
e2 + -10e + 9 = 0

Reorder the terms:
9 + -10e + e2 = 0

Solving
9 + -10e + e2 = 0

Solving for variable 'e'.

Factor a trinomial.
(1 + -1e)(9 + -1e) = 0

Subproblem 1
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
Subproblem 2
Set the factor '(9 + -1e)' equal to zero and attempt to solve:

Simplifying
9 + -1e = 0

Solving
9 + -1e = 0

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

Add '-9' to each side of the equation.
9 + -9 + -1e = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -1e = 0 + -9
-1e = 0 + -9

Combine like terms: 0 + -9 = -9
-1e = -9

Divide each side by '-1'.
e = 9

Simplifying
e = 9
Solution
e = {1, 9}