x(.5*4x)-160=0

Solution for x(.5*4x)-160=0 equation:

Simplifying
x(0.5 * 4x) + -160 = 0

Multiply 0.5 * 4
x(2x) + -160 = 0

Remove parenthesis around (2x)
x * 2x + -160 = 0

Reorder the terms for easier multiplication:
2x * x + -160 = 0

Multiply x * x
2x2 + -160 = 0

Reorder the terms:
-160 + 2x2 = 0

Solving
-160 + 2x2 = 0

Solving for variable 'x'.

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

Add '160' to each side of the equation.
-160 + 160 + 2x2 = 0 + 160

Combine like terms: -160 + 160 = 0
0 + 2x2 = 0 + 160
2x2 = 0 + 160

Combine like terms: 0 + 160 = 160
2x2 = 160

Divide each side by '2'.
x2 = 80

Simplifying
x2 = 80

Take the square root of each side:
x = {-8.94427191, 8.94427191}