0.16x(x-18)+.50(x+2)=x-20

Solution for 0.16x(x-18)+.50(x+2)=x-20 equation:

Simplifying
0.16x(x + -18) + 0.50(x + 2) = x + -20

Reorder the terms:
0.16x(-18 + x) + 0.50(x + 2) = x + -20
(-18 * 0.16x + x * 0.16x) + 0.50(x + 2) = x + -20
(-2.88x + 0.16x2) + 0.50(x + 2) = x + -20

Reorder the terms:
-2.88x + 0.16x2 + 0.50(2 + x) = x + -20
-2.88x + 0.16x2 + (2 * 0.50 + x * 0.50) = x + -20
-2.88x + 0.16x2 + (1 + 0.50x) = x + -20

Reorder the terms:
1 + -2.88x + 0.50x + 0.16x2 = x + -20

Combine like terms: -2.88x + 0.50x = -2.38x
1 + -2.38x + 0.16x2 = x + -20

Reorder the terms:
1 + -2.38x + 0.16x2 = -20 + x

Solving
1 + -2.38x + 0.16x2 = -20 + x

Solving for variable 'x'.

Reorder the terms:
1 + 20 + -2.38x + -1x + 0.16x2 = -20 + x + 20 + -1x

Combine like terms: 1 + 20 = 21
21 + -2.38x + -1x + 0.16x2 = -20 + x + 20 + -1x

Combine like terms: -2.38x + -1x = -3.38x
21 + -3.38x + 0.16x2 = -20 + x + 20 + -1x

Reorder the terms:
21 + -3.38x + 0.16x2 = -20 + 20 + x + -1x

Combine like terms: -20 + 20 = 0
21 + -3.38x + 0.16x2 = 0 + x + -1x
21 + -3.38x + 0.16x2 = x + -1x

Combine like terms: x + -1x = 0
21 + -3.38x + 0.16x2 = 0

Begin completing the square.  Divide all terms by
0.16 the coefficient of the squared term: 

Divide each side by '0.16'.
131.25 + -21.125x + x2 = 0

Move the constant term to the right:

Add '-131.25' to each side of the equation.
131.25 + -21.125x + -131.25 + x2 = 0 + -131.25

Reorder the terms:
131.25 + -131.25 + -21.125x + x2 = 0 + -131.25

Combine like terms: 131.25 + -131.25 = 0.00
0.00 + -21.125x + x2 = 0 + -131.25
-21.125x + x2 = 0 + -131.25

Combine like terms: 0 + -131.25 = -131.25
-21.125x + x2 = -131.25

The x term is -21.125x.  Take half its coefficient (-10.5625).
Square it (111.5664063) and add it to both sides.

Add '111.5664063' to each side of the equation.
-21.125x + 111.5664063 + x2 = -131.25 + 111.5664063

Reorder the terms:
111.5664063 + -21.125x + x2 = -131.25 + 111.5664063

Combine like terms: -131.25 + 111.5664063 = -19.6835937
111.5664063 + -21.125x + x2 = -19.6835937

Factor a perfect square on the left side:
(x + -10.5625)(x + -10.5625) = -19.6835937

Can't calculate square root of the right side.

The solution to this equation could not be determined.