x=2x^2-20x+200

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Solution for x=2x^2-20x+200 equation: 


Simplifying
x = 2x2 + -20x + 200

Reorder the terms:
x = 200 + -20x + 2x2

Solving
x = 200 + -20x + 2x2

Solving for variable 'x'.

Reorder the terms:
-200 + x + 20x + -2x2 = 200 + -20x + 2x2 + -200 + 20x + -2x2

Combine like terms: x + 20x = 21x
-200 + 21x + -2x2 = 200 + -20x + 2x2 + -200 + 20x + -2x2

Reorder the terms:
-200 + 21x + -2x2 = 200 + -200 + -20x + 20x + 2x2 + -2x2

Combine like terms: 200 + -200 = 0
-200 + 21x + -2x2 = 0 + -20x + 20x + 2x2 + -2x2
-200 + 21x + -2x2 = -20x + 20x + 2x2 + -2x2

Combine like terms: -20x + 20x = 0
-200 + 21x + -2x2 = 0 + 2x2 + -2x2
-200 + 21x + -2x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
-200 + 21x + -2x2 = 0

Begin completing the square.  Divide all terms by
-2 the coefficient of the squared term: 

Divide each side by '-2'.
100 + -10.5x + x2 = 0

Move the constant term to the right:

Add '-100' to each side of the equation.
100 + -10.5x + -100 + x2 = 0 + -100

Reorder the terms:
100 + -100 + -10.5x + x2 = 0 + -100

Combine like terms: 100 + -100 = 0
0 + -10.5x + x2 = 0 + -100
-10.5x + x2 = 0 + -100

Combine like terms: 0 + -100 = -100
-10.5x + x2 = -100

The x term is -10.5x.  Take half its coefficient (-5.25).
Square it (27.5625) and add it to both sides.

Add '27.5625' to each side of the equation.
-10.5x + 27.5625 + x2 = -100 + 27.5625

Reorder the terms:
27.5625 + -10.5x + x2 = -100 + 27.5625

Combine like terms: -100 + 27.5625 = -72.4375
27.5625 + -10.5x + x2 = -72.4375

Factor a perfect square on the left side:
(x + -5.25)(x + -5.25) = -72.4375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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