x(x*.1)=45200

Solution for x(x*.1)=45200 equation:

Simplifying
x(x * 0.1) = 45200

Reorder the terms for easier multiplication:
x(0.1x) = 45200

Remove parenthesis around (0.1x)
x * 0.1x = 45200

Reorder the terms for easier multiplication:
0.1x * x = 45200

Multiply x * x
0.1x2 = 45200

Solving
0.1x2 = 45200

Solving for variable 'x'.

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

Divide each side by '0.1'.
x2 = 452000

Simplifying
x2 = 452000

Take the square root of each side:
x = {-672.309452559, 672.309452559}