(7x-1)(7x-1)=-1

Solution for (7x-1)(7x-1)=-1 equation:

Simplifying
(7x + -1)(7x + -1) = -1

Reorder the terms:
(-1 + 7x)(7x + -1) = -1

Reorder the terms:
(-1 + 7x)(-1 + 7x) = -1

Multiply (-1 + 7x) * (-1 + 7x)
(-1(-1 + 7x) + 7x * (-1 + 7x)) = -1
((-1 * -1 + 7x * -1) + 7x * (-1 + 7x)) = -1
((1 + -7x) + 7x * (-1 + 7x)) = -1
(1 + -7x + (-1 * 7x + 7x * 7x)) = -1
(1 + -7x + (-7x + 49x2)) = -1

Combine like terms: -7x + -7x = -14x
(1 + -14x + 49x2) = -1

Solving
1 + -14x + 49x2 = -1

Solving for variable 'x'.

Reorder the terms:
1 + 1 + -14x + 49x2 = -1 + 1

Combine like terms: 1 + 1 = 2
2 + -14x + 49x2 = -1 + 1

Combine like terms: -1 + 1 = 0
2 + -14x + 49x2 = 0

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

Divide each side by '49'.
0.04081632653 + -0.2857142857x + x2 = 0

Move the constant term to the right:

Add '-0.04081632653' to each side of the equation.
0.04081632653 + -0.2857142857x + -0.04081632653 + x2 = 0 + -0.04081632653

Reorder the terms:
0.04081632653 + -0.04081632653 + -0.2857142857x + x2 = 0 + -0.04081632653

Combine like terms: 0.04081632653 + -0.04081632653 = 0.00000000000
0.00000000000 + -0.2857142857x + x2 = 0 + -0.04081632653
-0.2857142857x + x2 = 0 + -0.04081632653

Combine like terms: 0 + -0.04081632653 = -0.04081632653
-0.2857142857x + x2 = -0.04081632653

The x term is -0.2857142857x.  Take half its coefficient (-0.1428571429).
Square it (0.02040816328) and add it to both sides.

Add '0.02040816328' to each side of the equation.
-0.2857142857x + 0.02040816328 + x2 = -0.04081632653 + 0.02040816328

Reorder the terms:
0.02040816328 + -0.2857142857x + x2 = -0.04081632653 + 0.02040816328

Combine like terms: -0.04081632653 + 0.02040816328 = -0.02040816325
0.02040816328 + -0.2857142857x + x2 = -0.02040816325

Factor a perfect square on the left side:
(x + -0.1428571429)(x + -0.1428571429) = -0.02040816325

Can't calculate square root of the right side.

The solution to this equation could not be determined.