.02x^2-.4x+2=0

Solution for .02x^2-.4x+2=0 equation:

Simplifying
0.02x2 + -0.4x + 2 = 0

Reorder the terms:
2 + -0.4x + 0.02x2 = 0

Solving
2 + -0.4x + 0.02x2 = 0

Solving for variable 'x'.

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

Divide each side by '0.02'.
100 + -20x + x2 = 0

Move the constant term to the right:

Add '-100' to each side of the equation.
100 + -20x + -100 + x2 = 0 + -100

Reorder the terms:
100 + -100 + -20x + x2 = 0 + -100

Combine like terms: 100 + -100 = 0
0 + -20x + x2 = 0 + -100
-20x + x2 = 0 + -100

Combine like terms: 0 + -100 = -100
-20x + x2 = -100

The x term is -20x.  Take half its coefficient (-10).
Square it (100) and add it to both sides.

Add '100' to each side of the equation.
-20x + 100 + x2 = -100 + 100

Reorder the terms:
100 + -20x + x2 = -100 + 100

Combine like terms: -100 + 100 = 0
100 + -20x + x2 = 0

Factor a perfect square on the left side:
(x + -10)(x + -10) = 0

Calculate the square root of the right side: 0

Break this problem into two subproblems by setting 
(x + -10) equal to 0 and 0.

Subproblem 1
x + -10 = 0

Simplifying
x + -10 = 0

Reorder the terms:
-10 + x = 0

Solving
-10 + x = 0

Solving for variable 'x'.

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

Add '10' to each side of the equation.
-10 + 10 + x = 0 + 10

Combine like terms: -10 + 10 = 0
0 + x = 0 + 10
x = 0 + 10

Combine like terms: 0 + 10 = 10
x = 10

Simplifying
x = 10

Subproblem 2
x + -10 = 0

Simplifying
x + -10 = 0

Reorder the terms:
-10 + x = 0

Solving
-10 + x = 0

Solving for variable 'x'.

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

Add '10' to each side of the equation.
-10 + 10 + x = 0 + 10

Combine like terms: -10 + 10 = 0
0 + x = 0 + 10
x = 0 + 10

Combine like terms: 0 + 10 = 10
x = 10

Simplifying
x = 10

Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {10, 10}