8*4=(a*7)(a*3)

Solution for 8*4=(a*7)(a*3) equation:

Simplifying
8 * 4 = (a * 7)(a * 3)

Multiply 8 * 4
32 = (a * 7)(a * 3)

Reorder the terms for easier multiplication:
32 = (7a)(a * 3)

Remove parenthesis around (7a)
32 = 7a(a * 3)

Reorder the terms for easier multiplication:
32 = 7a(3a)

Remove parenthesis around (3a)
32 = 7a * 3a

Reorder the terms for easier multiplication:
32 = 7 * 3a * a

Multiply 7 * 3
32 = 21a * a

Multiply a * a
32 = 21a2

Solving
32 = 21a2

Solving for variable 'a'.

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

Add '-21a2' to each side of the equation.
32 + -21a2 = 21a2 + -21a2

Combine like terms: 21a2 + -21a2 = 0
32 + -21a2 = 0

Add '-32' to each side of the equation.
32 + -32 + -21a2 = 0 + -32

Combine like terms: 32 + -32 = 0
0 + -21a2 = 0 + -32
-21a2 = 0 + -32

Combine like terms: 0 + -32 = -32
-21a2 = -32

Divide each side by '-21'.
a2 = 1.523809524

Simplifying
a2 = 1.523809524

Take the square root of each side:
a = {-1.2344268, 1.2344268}