0=0.2x^2-80x+9000

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Solution for 0=0.2x^2-80x+9000 equation: 


Simplifying
0 = 0.2x2 + -80x + 9000

Reorder the terms:
0 = 9000 + -80x + 0.2x2

Solving
0 = 9000 + -80x + 0.2x2

Solving for variable 'x'.

Combine like terms: 0 + -9000 = -9000
-9000 + 80x + -0.2x2 = 9000 + -80x + 0.2x2 + -9000 + 80x + -0.2x2

Reorder the terms:
-9000 + 80x + -0.2x2 = 9000 + -9000 + -80x + 80x + 0.2x2 + -0.2x2

Combine like terms: 9000 + -9000 = 0
-9000 + 80x + -0.2x2 = 0 + -80x + 80x + 0.2x2 + -0.2x2
-9000 + 80x + -0.2x2 = -80x + 80x + 0.2x2 + -0.2x2

Combine like terms: -80x + 80x = 0
-9000 + 80x + -0.2x2 = 0 + 0.2x2 + -0.2x2
-9000 + 80x + -0.2x2 = 0.2x2 + -0.2x2

Combine like terms: 0.2x2 + -0.2x2 = 0.0
-9000 + 80x + -0.2x2 = 0.0

Begin completing the square.  Divide all terms by
-0.2 the coefficient of the squared term: 

Divide each side by '-0.2'.
45000 + -400x + x2 = 0

Move the constant term to the right:

Add '-45000' to each side of the equation.
45000 + -400x + -45000 + x2 = 0 + -45000

Reorder the terms:
45000 + -45000 + -400x + x2 = 0 + -45000

Combine like terms: 45000 + -45000 = 0
0 + -400x + x2 = 0 + -45000
-400x + x2 = 0 + -45000

Combine like terms: 0 + -45000 = -45000
-400x + x2 = -45000

The x term is -400x.  Take half its coefficient (-200).
Square it (40000) and add it to both sides.

Add '40000' to each side of the equation.
-400x + 40000 + x2 = -45000 + 40000

Reorder the terms:
40000 + -400x + x2 = -45000 + 40000

Combine like terms: -45000 + 40000 = -5000
40000 + -400x + x2 = -5000

Factor a perfect square on the left side:
(x + -200)(x + -200) = -5000

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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