.25(x)*.50(x)=.40(160)

Solution for .25(x)*.50(x)=.40(160) equation:

Simplifying
0.25(x) * 0.50(x) = 0.40(160)

Reorder the terms for easier multiplication:
0.25 * 0.50x * x = 0.40(160)

Multiply 0.25 * 0.50
0.125x * x = 0.40(160)

Multiply x * x
0.125x2 = 0.40(160)

Multiply 0.40 * 160
0.125x2 = 64

Solving
0.125x2 = 64

Solving for variable 'x'.

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

Divide each side by '0.125'.
x2 = 512

Simplifying
x2 = 512

Take the square root of each side:
x = {-22.627416998, 22.627416998}