17.08=0.5x^2+0.5x+28

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Solution for 17.08=0.5x^2+0.5x+28 equation: 


Simplifying
17.08 = 0.5x2 + 0.5x + 28

Reorder the terms:
17.08 = 28 + 0.5x + 0.5x2

Solving
17.08 = 28 + 0.5x + 0.5x2

Solving for variable 'x'.

Combine like terms: 17.08 + -28 = -10.92
-10.92 + -0.5x + -0.5x2 = 28 + 0.5x + 0.5x2 + -28 + -0.5x + -0.5x2

Reorder the terms:
-10.92 + -0.5x + -0.5x2 = 28 + -28 + 0.5x + -0.5x + 0.5x2 + -0.5x2

Combine like terms: 28 + -28 = 0
-10.92 + -0.5x + -0.5x2 = 0 + 0.5x + -0.5x + 0.5x2 + -0.5x2
-10.92 + -0.5x + -0.5x2 = 0.5x + -0.5x + 0.5x2 + -0.5x2

Combine like terms: 0.5x + -0.5x = 0.0
-10.92 + -0.5x + -0.5x2 = 0.0 + 0.5x2 + -0.5x2
-10.92 + -0.5x + -0.5x2 = 0.5x2 + -0.5x2

Combine like terms: 0.5x2 + -0.5x2 = 0.0
-10.92 + -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'.
21.84 + x + x2 = 0

Move the constant term to the right:

Add '-21.84' to each side of the equation.
21.84 + x + -21.84 + x2 = 0 + -21.84

Reorder the terms:
21.84 + -21.84 + x + x2 = 0 + -21.84

Combine like terms: 21.84 + -21.84 = 0.00
0.00 + x + x2 = 0 + -21.84
x + x2 = 0 + -21.84

Combine like terms: 0 + -21.84 = -21.84
x + x2 = -21.84

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 = -21.84 + 0.25

Combine like terms:  + 0.25 = 1.25
1.25 + x2 = -21.84 + 0.25

Combine like terms: -21.84 + 0.25 = -21.59
1.25 + x2 = -21.59

Factor a perfect square on the left side:
(x + 0.5)(x + 0.5) = -21.59

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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