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

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

Simplifying
0 = (7x + 1)(7x + -1)

Reorder the terms:
0 = (1 + 7x)(7x + -1)

Reorder the terms:
0 = (1 + 7x)(-1 + 7x)

Multiply (1 + 7x) * (-1 + 7x)
0 = (1(-1 + 7x) + 7x * (-1 + 7x))
0 = ((-1 * 1 + 7x * 1) + 7x * (-1 + 7x))
0 = ((-1 + 7x) + 7x * (-1 + 7x))
0 = (-1 + 7x + (-1 * 7x + 7x * 7x))
0 = (-1 + 7x + (-7x + 49x2))

Combine like terms: 7x + -7x = 0
0 = (-1 + 0 + 49x2)
0 = (-1 + 49x2)

Solving
0 = -1 + 49x2

Solving for variable 'x'.

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

Add '-49x2' to each side of the equation.
0 + -49x2 = -1 + 49x2 + -49x2
Remove the zero:
-49x2 = -1 + 49x2 + -49x2

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

Divide each side by '-49'.
x2 = 0.02040816327

Simplifying
x2 = 0.02040816327

Take the square root of each side:
x = {-0.142857143, 0.142857143}