0=(2x^2)-4x+5

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Solution for 0=(2x^2)-4x+5 equation: 


Simplifying
0 = (2x2) + -4x + 5

Reorder the terms:
0 = 5 + -4x + (2x2)

Solving
0 = 5 + -4x + (2x2)

Solving for variable 'x'.

Combine like terms: 0 + -5 = -5
-5 + 4x + (-2x2) = 5 + -4x + (2x2) + -5 + 4x + (-2x2)

Reorder the terms:
-5 + 4x + (-2x2) = 5 + -5 + -4x + 4x + (2x2) + (-2x2)

Combine like terms: 5 + -5 = 0
-5 + 4x + (-2x2) = 0 + -4x + 4x + (2x2) + (-2x2)
-5 + 4x + (-2x2) = -4x + 4x + (2x2) + (-2x2)

Combine like terms: -4x + 4x = 0
-5 + 4x + (-2x2) = 0 + (2x2) + (-2x2)
-5 + 4x + (-2x2) = (2x2) + (-2x2)

Combine like terms: (2x2) + (-2x2) = 0
-5 + 4x + (-2x2) = 0

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

Divide each side by '-2'.
2.5 + -2x + x2 = 0

Move the constant term to the right:

Add '-2.5' to each side of the equation.
2.5 + -2x + -2.5 + x2 = 0 + -2.5

Reorder the terms:
2.5 + -2.5 + -2x + x2 = 0 + -2.5

Combine like terms: 2.5 + -2.5 = 0.0
0.0 + -2x + x2 = 0 + -2.5
-2x + x2 = 0 + -2.5

Combine like terms: 0 + -2.5 = -2.5
-2x + x2 = -2.5

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 = -2.5 + 1

Reorder the terms:
1 + -2x + x2 = -2.5 + 1

Combine like terms: -2.5 + 1 = -1.5
1 + -2x + x2 = -1.5

Factor a perfect square on the left side:
((x) + -1)((x) + -1) = -1.5

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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