e^2+e=2

Solution for e^2+e=2 equation:

Simplifying
e2 + e = 2

Reorder the terms:
e + e2 = 2

Solving
e + e2 = 2

Solving for variable 'e'.

Reorder the terms:
-2 + e + e2 = 2 + -2

Combine like terms: 2 + -2 = 0
-2 + e + e2 = 0

Factor a trinomial.
(-2 + -1e)(1 + -1e) = 0

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

Simplifying
-2 + -1e = 0

Solving
-2 + -1e = 0

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

Add '2' to each side of the equation.
-2 + 2 + -1e = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -1e = 0 + 2
-1e = 0 + 2

Combine like terms: 0 + 2 = 2
-1e = 2

Divide each side by '-1'.
e = -2

Simplifying
e = -2
Subproblem 2
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
Solution
e = {-2, 1}