5x^2-6x+7=x+1

Solution for 5x^2-6x+7=x+1 equation:

Simplifying
5x2 + -6x + 7 = x + 1

Reorder the terms:
7 + -6x + 5x2 = x + 1

Reorder the terms:
7 + -6x + 5x2 = 1 + x

Solving
7 + -6x + 5x2 = 1 + x

Solving for variable 'x'.

Reorder the terms:
7 + -1 + -6x + -1x + 5x2 = 1 + x + -1 + -1x

Combine like terms: 7 + -1 = 6
6 + -6x + -1x + 5x2 = 1 + x + -1 + -1x

Combine like terms: -6x + -1x = -7x
6 + -7x + 5x2 = 1 + x + -1 + -1x

Reorder the terms:
6 + -7x + 5x2 = 1 + -1 + x + -1x

Combine like terms: 1 + -1 = 0
6 + -7x + 5x2 = 0 + x + -1x
6 + -7x + 5x2 = x + -1x

Combine like terms: x + -1x = 0
6 + -7x + 5x2 = 0

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

Divide each side by '5'.
1.2 + -1.4x + x2 = 0

Move the constant term to the right:

Add '-1.2' to each side of the equation.
1.2 + -1.4x + -1.2 + x2 = 0 + -1.2

Reorder the terms:
1.2 + -1.2 + -1.4x + x2 = 0 + -1.2

Combine like terms: 1.2 + -1.2 = 0.0
0.0 + -1.4x + x2 = 0 + -1.2
-1.4x + x2 = 0 + -1.2

Combine like terms: 0 + -1.2 = -1.2
-1.4x + x2 = -1.2

The x term is -1.4x.  Take half its coefficient (-0.7).
Square it (0.49) and add it to both sides.

Add '0.49' to each side of the equation.
-1.4x + 0.49 + x2 = -1.2 + 0.49

Reorder the terms:
0.49 + -1.4x + x2 = -1.2 + 0.49

Combine like terms: -1.2 + 0.49 = -0.71
0.49 + -1.4x + x2 = -0.71

Factor a perfect square on the left side:
(x + -0.7)(x + -0.7) = -0.71

Can't calculate square root of the right side.

The solution to this equation could not be determined.