0.5x=0.5x^2+1x+2

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Solution for 0.5x=0.5x^2+1x+2 equation: 


Simplifying
0.5x = 0.5x2 + 1x + 2

Reorder the terms:
0.5x = 2 + 1x + 0.5x2

Solving
0.5x = 2 + 1x + 0.5x2

Solving for variable 'x'.

Reorder the terms:
-2 + 0.5x + -1x + -0.5x2 = 2 + 1x + 0.5x2 + -2 + -1x + -0.5x2

Combine like terms: 0.5x + -1x = -0.5x
-2 + -0.5x + -0.5x2 = 2 + 1x + 0.5x2 + -2 + -1x + -0.5x2

Reorder the terms:
-2 + -0.5x + -0.5x2 = 2 + -2 + 1x + -1x + 0.5x2 + -0.5x2

Combine like terms: 2 + -2 = 0
-2 + -0.5x + -0.5x2 = 0 + 1x + -1x + 0.5x2 + -0.5x2
-2 + -0.5x + -0.5x2 = 1x + -1x + 0.5x2 + -0.5x2

Combine like terms: 1x + -1x = 0
-2 + -0.5x + -0.5x2 = 0 + 0.5x2 + -0.5x2
-2 + -0.5x + -0.5x2 = 0.5x2 + -0.5x2

Combine like terms: 0.5x2 + -0.5x2 = 0.0
-2 + -0.5x + -0.5x2 = 0.0

Begin completing the square.  Divide all terms by
-0.5 the coefficient of the squared term: 

Divide each side by '-0.5'.
4 + x + x2 = 0

Move the constant term to the right:

Add '-4' to each side of the equation.
4 + x + -4 + x2 = 0 + -4

Reorder the terms:
4 + -4 + x + x2 = 0 + -4

Combine like terms: 4 + -4 = 0
0 + x + x2 = 0 + -4
x + x2 = 0 + -4

Combine like terms: 0 + -4 = -4
x + x2 = -4

The x term is x.  Take half its coefficient (0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
 + 0.25 + x2 = -4 + 0.25

Combine like terms:  + 0.25 = 1.25
1.25 + x2 = -4 + 0.25

Combine like terms: -4 + 0.25 = -3.75
1.25 + x2 = -3.75

Factor a perfect square on the left side:
(x + 0.5)(x + 0.5) = -3.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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