.109=(2x)(x)

Solution for .109=(2x)(x) equation:

Simplifying
0.109 = (2x)(x)

Remove parenthesis around (2x)
0.109 = 2x(x)

Multiply x * x
0.109 = 2x2

Solving
0.109 = 2x2

Solving for variable 'x'.

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

Add '-2x2' to each side of the equation.
0.109 + -2x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
0.109 + -2x2 = 0

Add '-0.109' to each side of the equation.
0.109 + -0.109 + -2x2 = 0 + -0.109

Combine like terms: 0.109 + -0.109 = 0.000
0.000 + -2x2 = 0 + -0.109
-2x2 = 0 + -0.109

Combine like terms: 0 + -0.109 = -0.109
-2x2 = -0.109

Divide each side by '-2'.
x2 = 0.0545

Simplifying
x2 = 0.0545

Take the square root of each side:
x = {-0.233452351, 0.233452351}