x(.5x)-9=0

Solution for x(.5x)-9=0 equation:

Simplifying
x(0.5x) + -9 = 0

Remove parenthesis around (0.5x)
x * 0.5x + -9 = 0

Reorder the terms for easier multiplication:
0.5x * x + -9 = 0

Multiply x * x
0.5x2 + -9 = 0

Reorder the terms:
-9 + 0.5x2 = 0

Solving
-9 + 0.5x2 = 0

Solving for variable 'x'.

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

Add '9' to each side of the equation.
-9 + 9 + 0.5x2 = 0 + 9

Combine like terms: -9 + 9 = 0
0 + 0.5x2 = 0 + 9
0.5x2 = 0 + 9

Combine like terms: 0 + 9 = 9
0.5x2 = 9

Divide each side by '0.5'.
x2 = 18

Simplifying
x2 = 18

Take the square root of each side:
x = {-4.242640687, 4.242640687}