e^2+17e+42=0

Solution for e^2+17e+42=0 equation:

Simplifying
e2 + 17e + 42 = 0

Reorder the terms:
42 + 17e + e2 = 0

Solving
42 + 17e + e2 = 0

Solving for variable 'e'.

Factor a trinomial.
(14 + e)(3 + e) = 0

Subproblem 1
Set the factor '(14 + e)' equal to zero and attempt to solve:

Simplifying
14 + e = 0

Solving
14 + e = 0

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

Add '-14' to each side of the equation.
14 + -14 + e = 0 + -14

Combine like terms: 14 + -14 = 0
0 + e = 0 + -14
e = 0 + -14

Combine like terms: 0 + -14 = -14
e = -14

Simplifying
e = -14
Subproblem 2
Set the factor '(3 + e)' equal to zero and attempt to solve:

Simplifying
3 + e = 0

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

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

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

Simplifying
e = -3
Solution
e = {-14, -3}