e^2-10e-24=0

Solution for e^2-10e-24=0 equation:

Simplifying
e2 + -10e + -24 = 0

Reorder the terms:
-24 + -10e + e2 = 0

Solving
-24 + -10e + e2 = 0

Solving for variable 'e'.

Factor a trinomial.
(-2 + -1e)(12 + -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 '(12 + -1e)' equal to zero and attempt to solve:

Simplifying
12 + -1e = 0

Solving
12 + -1e = 0

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

Add '-12' to each side of the equation.
12 + -12 + -1e = 0 + -12

Combine like terms: 12 + -12 = 0
0 + -1e = 0 + -12
-1e = 0 + -12

Combine like terms: 0 + -12 = -12
-1e = -12

Divide each side by '-1'.
e = 12

Simplifying
e = 12
Solution
e = {-2, 12}