a*(a+5)=104

Solution for a*(a+5)=104 equation:

Simplifying
a(a + 5) = 104

Reorder the terms:
a(5 + a) = 104
(5 * a + a * a) = 104
(5a + a2) = 104

Solving
5a + a2 = 104

Solving for variable 'a'.

Reorder the terms:
-104 + 5a + a2 = 104 + -104

Combine like terms: 104 + -104 = 0
-104 + 5a + a2 = 0

Factor a trinomial.
(-13 + -1a)(8 + -1a) = 0

Subproblem 1
Set the factor '(-13 + -1a)' equal to zero and attempt to solve:

Simplifying
-13 + -1a = 0

Solving
-13 + -1a = 0

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

Add '13' to each side of the equation.
-13 + 13 + -1a = 0 + 13

Combine like terms: -13 + 13 = 0
0 + -1a = 0 + 13
-1a = 0 + 13

Combine like terms: 0 + 13 = 13
-1a = 13

Divide each side by '-1'.
a = -13

Simplifying
a = -13
Subproblem 2
Set the factor '(8 + -1a)' equal to zero and attempt to solve:

Simplifying
8 + -1a = 0

Solving
8 + -1a = 0

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

Add '-8' to each side of the equation.
8 + -8 + -1a = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1a = 0 + -8
-1a = 0 + -8

Combine like terms: 0 + -8 = -8
-1a = -8

Divide each side by '-1'.
a = 8

Simplifying
a = 8
Solution
a = {-13, 8}