e^2-29e+100=0

Solution for e^2-29e+100=0 equation:

Simplifying
e2 + -29e + 100 = 0

Reorder the terms:
100 + -29e + e2 = 0

Solving
100 + -29e + e2 = 0

Solving for variable 'e'.

Factor a trinomial.
(4 + -1e)(25 + -1e) = 0

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

Simplifying
4 + -1e = 0

Solving
4 + -1e = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1e = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1e = 0 + -4
-1e = 0 + -4

Combine like terms: 0 + -4 = -4
-1e = -4

Divide each side by '-1'.
e = 4

Simplifying
e = 4
Subproblem 2
Set the factor '(25 + -1e)' equal to zero and attempt to solve:

Simplifying
25 + -1e = 0

Solving
25 + -1e = 0

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

Add '-25' to each side of the equation.
25 + -25 + -1e = 0 + -25

Combine like terms: 25 + -25 = 0
0 + -1e = 0 + -25
-1e = 0 + -25

Combine like terms: 0 + -25 = -25
-1e = -25

Divide each side by '-1'.
e = 25

Simplifying
e = 25
Solution
e = {4, 25}