(.1600-x)(.1600-x)=

Solution for (.1600-x)(.1600-x)= equation:

Simplifying
(0.1600 + -1x)(0.1600 + -1x) = 0

Multiply (0.1600 + -1x) * (0.1600 + -1x)
(0.1600(0.1600 + -1x) + -1x * (0.1600 + -1x)) = 0
((0.1600 * 0.1600 + -1x * 0.1600) + -1x * (0.1600 + -1x)) = 0
((0.0256 + -0.16x) + -1x * (0.1600 + -1x)) = 0
(0.0256 + -0.16x + (0.1600 * -1x + -1x * -1x)) = 0
(0.0256 + -0.16x + (-0.16x + 1x2)) = 0

Combine like terms: -0.16x + -0.16x = -0.32x
(0.0256 + -0.32x + 1x2) = 0

Solving
0.0256 + -0.32x + 1x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-0.0256' to each side of the equation.
0.0256 + -0.32x + -0.0256 + x2 = 0 + -0.0256

Reorder the terms:
0.0256 + -0.0256 + -0.32x + x2 = 0 + -0.0256

Combine like terms: 0.0256 + -0.0256 = 0.0000
0.0000 + -0.32x + x2 = 0 + -0.0256
-0.32x + x2 = 0 + -0.0256

Combine like terms: 0 + -0.0256 = -0.0256
-0.32x + x2 = -0.0256

The x term is -0.32x.  Take half its coefficient (-0.16).
Square it (0.0256) and add it to both sides.

Add '0.0256' to each side of the equation.
-0.32x + 0.0256 + x2 = -0.0256 + 0.0256

Reorder the terms:
0.0256 + -0.32x + x2 = -0.0256 + 0.0256

Combine like terms: -0.0256 + 0.0256 = 0.0000
0.0256 + -0.32x + x2 = 0.0000

Factor a perfect square on the left side:
(x + -0.16)(x + -0.16) = 0.0000

Calculate the square root of the right side: 0.0000

Break this problem into two subproblems by setting 
(x + -0.16) equal to 0.0000 and 0.0000.

Subproblem 1
x + -0.16 = 0.0000

Simplifying
x + -0.16 = 0.0000

Reorder the terms:
-0.16 + x = 0.0000

Solving
-0.16 + x = 0.0000

Solving for variable 'x'.

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

Add '0.16' to each side of the equation.
-0.16 + 0.16 + x = 0.0000 + 0.16

Combine like terms: -0.16 + 0.16 = 0.00
0.00 + x = 0.0000 + 0.16
x = 0.0000 + 0.16

Combine like terms: 0.0000 + 0.16 = 0.16
x = 0.16

Simplifying
x = 0.16

Subproblem 2
x + -0.16 = 0.0000

Simplifying
x + -0.16 = 0.0000

Reorder the terms:
-0.16 + x = 0.0000

Solving
-0.16 + x = 0.0000

Solving for variable 'x'.

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

Add '0.16' to each side of the equation.
-0.16 + 0.16 + x = 0.0000 + 0.16

Combine like terms: -0.16 + 0.16 = 0.00
0.00 + x = 0.0000 + 0.16
x = 0.0000 + 0.16

Combine like terms: 0.0000 + 0.16 = 0.16
x = 0.16

Simplifying
x = 0.16

Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {0.16, 0.16}