32=a(a-4)

Solution for 32=a(a-4) equation:

Simplifying
32 = a(a + -4)

Reorder the terms:
32 = a(-4 + a)
32 = (-4 * a + a * a)
32 = (-4a + a2)

Solving
32 = -4a + a2

Solving for variable 'a'.

Reorder the terms:
32 + 4a + -1a2 = -4a + 4a + a2 + -1a2

Combine like terms: -4a + 4a = 0
32 + 4a + -1a2 = 0 + a2 + -1a2
32 + 4a + -1a2 = a2 + -1a2

Combine like terms: a2 + -1a2 = 0
32 + 4a + -1a2 = 0

Factor a trinomial.
(8 + -1a)(4 + 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 '(4 + a)' equal to zero and attempt to solve:

Simplifying
4 + a = 0

Solving
4 + a = 0

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

Add '-4' to each side of the equation.
4 + -4 + a = 0 + -4

Combine like terms: 4 + -4 = 0
0 + a = 0 + -4
a = 0 + -4

Combine like terms: 0 + -4 = -4
a = -4

Simplifying
a = -4
Solution
a = {8, -4}