2x^2-14x+27=0

Solution for 2x^2-14x+27=0 equation:

Simplifying
2x2 + -14x + 27 = 0

Reorder the terms:
27 + -14x + 2x2 = 0

Solving
27 + -14x + 2x2 = 0

Solving for variable 'x'.

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

Divide each side by '2'.
13.5 + -7x + x2 = 0

Move the constant term to the right:

Add '-13.5' to each side of the equation.
13.5 + -7x + -13.5 + x2 = 0 + -13.5

Reorder the terms:
13.5 + -13.5 + -7x + x2 = 0 + -13.5

Combine like terms: 13.5 + -13.5 = 0.0
0.0 + -7x + x2 = 0 + -13.5
-7x + x2 = 0 + -13.5

Combine like terms: 0 + -13.5 = -13.5
-7x + x2 = -13.5

The x term is -7x.  Take half its coefficient (-3.5).
Square it (12.25) and add it to both sides.

Add '12.25' to each side of the equation.
-7x + 12.25 + x2 = -13.5 + 12.25

Reorder the terms:
12.25 + -7x + x2 = -13.5 + 12.25

Combine like terms: -13.5 + 12.25 = -1.25
12.25 + -7x + x2 = -1.25

Factor a perfect square on the left side:
(x + -3.5)(x + -3.5) = -1.25

Can't calculate square root of the right side.

The solution to this equation could not be determined.