24=a(a-5)

Solution for 24=a(a-5) equation:

Simplifying
24 = a(a + -5)

Reorder the terms:
24 = a(-5 + a)
24 = (-5 * a + a * a)
24 = (-5a + a2)

Solving
24 = -5a + a2

Solving for variable 'a'.

Reorder the terms:
24 + 5a + -1a2 = -5a + 5a + a2 + -1a2

Combine like terms: -5a + 5a = 0
24 + 5a + -1a2 = 0 + a2 + -1a2
24 + 5a + -1a2 = a2 + -1a2

Combine like terms: a2 + -1a2 = 0
24 + 5a + -1a2 = 0

Factor a trinomial.
(8 + -1a)(3 + a) = 0

Subproblem 1
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
Subproblem 2
Set the factor '(3 + a)' equal to zero and attempt to solve:

Simplifying
3 + a = 0

Solving
3 + a = 0

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

Add '-3' to each side of the equation.
3 + -3 + a = 0 + -3

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

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

Simplifying
a = -3
Solution
a = {8, -3}