0=2x^2-8x+13

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Solution for 0=2x^2-8x+13 equation:


Simplifying
0 = 2x2 + -8x + 13

Reorder the terms:
0 = 13 + -8x + 2x2

Solving
0 = 13 + -8x + 2x2

Solving for variable 'x'.

Combine like terms: 0 + -13 = -13
-13 + 8x + -2x2 = 13 + -8x + 2x2 + -13 + 8x + -2x2

Reorder the terms:
-13 + 8x + -2x2 = 13 + -13 + -8x + 8x + 2x2 + -2x2

Combine like terms: 13 + -13 = 0
-13 + 8x + -2x2 = 0 + -8x + 8x + 2x2 + -2x2
-13 + 8x + -2x2 = -8x + 8x + 2x2 + -2x2

Combine like terms: -8x + 8x = 0
-13 + 8x + -2x2 = 0 + 2x2 + -2x2
-13 + 8x + -2x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
-13 + 8x + -2x2 = 0

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

Divide each side by '-2'.
6.5 + -4x + x2 = 0

Move the constant term to the right:

Add '-6.5' to each side of the equation.
6.5 + -4x + -6.5 + x2 = 0 + -6.5

Reorder the terms:
6.5 + -6.5 + -4x + x2 = 0 + -6.5

Combine like terms: 6.5 + -6.5 = 0.0
0.0 + -4x + x2 = 0 + -6.5
-4x + x2 = 0 + -6.5

Combine like terms: 0 + -6.5 = -6.5
-4x + x2 = -6.5

The x term is -4x.  Take half its coefficient (-2).
Square it (4) and add it to both sides.

Add '4' to each side of the equation.
-4x + 4 + x2 = -6.5 + 4

Reorder the terms:
4 + -4x + x2 = -6.5 + 4

Combine like terms: -6.5 + 4 = -2.5
4 + -4x + x2 = -2.5

Factor a perfect square on the left side:
(x + -2)(x + -2) = -2.5

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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