32=x(4x)

Solution for 32=x(4x) equation:

Simplifying
32 = x(4x)

Remove parenthesis around (4x)
32 = x * 4x

Reorder the terms for easier multiplication:
32 = 4x * x

Multiply x * x
32 = 4x2

Solving
32 = 4x2

Solving for variable 'x'.

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

Add '-4x2' to each side of the equation.
32 + -4x2 = 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
32 + -4x2 = 0

Add '-32' to each side of the equation.
32 + -32 + -4x2 = 0 + -32

Combine like terms: 32 + -32 = 0
0 + -4x2 = 0 + -32
-4x2 = 0 + -32

Combine like terms: 0 + -32 = -32
-4x2 = -32

Divide each side by '-4'.
x2 = 8

Simplifying
x2 = 8

Take the square root of each side:
x = {-2.828427125, 2.828427125}