(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 = 0
(-1 + 0 + 49x2) = 1
(-1 + 49x2) = 1

Solving
-1 + 49x2 = 1

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '1' to each side of the equation.
-1 + 1 + 49x2 = 1 + 1

Combine like terms: -1 + 1 = 0
0 + 49x2 = 1 + 1
49x2 = 1 + 1

Combine like terms: 1 + 1 = 2
49x2 = 2

Divide each side by '49'.
x2 = 0.04081632653

Simplifying
x2 = 0.04081632653

Take the square root of each side:
x = {-0.202030509, 0.202030509}