0=2x^2-4x+17

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Solution for 0=2x^2-4x+17 equation: 


Simplifying
0 = 2x2 + -4x + 17

Reorder the terms:
0 = 17 + -4x + 2x2

Solving
0 = 17 + -4x + 2x2

Solving for variable 'x'.

Combine like terms: 0 + -17 = -17
-17 + 4x + -2x2 = 17 + -4x + 2x2 + -17 + 4x + -2x2

Reorder the terms:
-17 + 4x + -2x2 = 17 + -17 + -4x + 4x + 2x2 + -2x2

Combine like terms: 17 + -17 = 0
-17 + 4x + -2x2 = 0 + -4x + 4x + 2x2 + -2x2
-17 + 4x + -2x2 = -4x + 4x + 2x2 + -2x2

Combine like terms: -4x + 4x = 0
-17 + 4x + -2x2 = 0 + 2x2 + -2x2
-17 + 4x + -2x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
-17 + 4x + -2x2 = 0

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

Divide each side by '-2'.
8.5 + -2x + x2 = 0

Move the constant term to the right:

Add '-8.5' to each side of the equation.
8.5 + -2x + -8.5 + x2 = 0 + -8.5

Reorder the terms:
8.5 + -8.5 + -2x + x2 = 0 + -8.5

Combine like terms: 8.5 + -8.5 = 0.0
0.0 + -2x + x2 = 0 + -8.5
-2x + x2 = 0 + -8.5

Combine like terms: 0 + -8.5 = -8.5
-2x + x2 = -8.5

The x term is -2x.  Take half its coefficient (-1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
-2x + 1 + x2 = -8.5 + 1

Reorder the terms:
1 + -2x + x2 = -8.5 + 1

Combine like terms: -8.5 + 1 = -7.5
1 + -2x + x2 = -7.5

Factor a perfect square on the left side:
(x + -1)(x + -1) = -7.5

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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