2x^2-7x+55=x-7*x-7

Solution for 2x^2-7x+55=x-7*x-7 equation:

Simplifying
2x2 + -7x + 55 = x + -7x + -7

Reorder the terms:
55 + -7x + 2x2 = x + -7x + -7

Reorder the terms:
55 + -7x + 2x2 = -7 + x + -7x

Combine like terms: x + -7x = -6x
55 + -7x + 2x2 = -7 + -6x

Solving
55 + -7x + 2x2 = -7 + -6x

Solving for variable 'x'.

Reorder the terms:
55 + 7 + -7x + 6x + 2x2 = -7 + -6x + 7 + 6x

Combine like terms: 55 + 7 = 62
62 + -7x + 6x + 2x2 = -7 + -6x + 7 + 6x

Combine like terms: -7x + 6x = -1x
62 + -1x + 2x2 = -7 + -6x + 7 + 6x

Reorder the terms:
62 + -1x + 2x2 = -7 + 7 + -6x + 6x

Combine like terms: -7 + 7 = 0
62 + -1x + 2x2 = 0 + -6x + 6x
62 + -1x + 2x2 = -6x + 6x

Combine like terms: -6x + 6x = 0
62 + -1x + 2x2 = 0

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

Divide each side by '2'.
31 + -0.5x + x2 = 0

Move the constant term to the right:

Add '-31' to each side of the equation.
31 + -0.5x + -31 + x2 = 0 + -31

Reorder the terms:
31 + -31 + -0.5x + x2 = 0 + -31

Combine like terms: 31 + -31 = 0
0 + -0.5x + x2 = 0 + -31
-0.5x + x2 = 0 + -31

Combine like terms: 0 + -31 = -31
-0.5x + x2 = -31

The x term is -0.5x.  Take half its coefficient (-0.25).
Square it (0.0625) and add it to both sides.

Add '0.0625' to each side of the equation.
-0.5x + 0.0625 + x2 = -31 + 0.0625

Reorder the terms:
0.0625 + -0.5x + x2 = -31 + 0.0625

Combine like terms: -31 + 0.0625 = -30.9375
0.0625 + -0.5x + x2 = -30.9375

Factor a perfect square on the left side:
(x + -0.25)(x + -0.25) = -30.9375

Can't calculate square root of the right side.

The solution to this equation could not be determined.