67=x(0.5x)

Solution for 67=x(0.5x) equation:

Simplifying
67 = x(0.5x)

Remove parenthesis around (0.5x)
67 = x * 0.5x

Reorder the terms for easier multiplication:
67 = 0.5x * x

Multiply x * x
67 = 0.5x2

Solving
67 = 0.5x2

Solving for variable 'x'.

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

Add '-0.5x2' to each side of the equation.
67 + -0.5x2 = 0.5x2 + -0.5x2

Combine like terms: 0.5x2 + -0.5x2 = 0.0
67 + -0.5x2 = 0.0

Add '-67' to each side of the equation.
67 + -67 + -0.5x2 = 0.0 + -67

Combine like terms: 67 + -67 = 0
0 + -0.5x2 = 0.0 + -67
-0.5x2 = 0.0 + -67

Combine like terms: 0.0 + -67 = -67
-0.5x2 = -67

Divide each side by '-0.5'.
x2 = 134

Simplifying
x2 = 134

Take the square root of each side:
x = {-11.575836903, 11.575836903}