(7x+8)(7x-8)=1

Solution for (7x+8)(7x-8)=1 equation:

Simplifying
(7x + 8)(7x + -8) = 1

Reorder the terms:
(8 + 7x)(7x + -8) = 1

Reorder the terms:
(8 + 7x)(-8 + 7x) = 1

Multiply (8 + 7x) * (-8 + 7x)
(8(-8 + 7x) + 7x * (-8 + 7x)) = 1
((-8 * 8 + 7x * 8) + 7x * (-8 + 7x)) = 1
((-64 + 56x) + 7x * (-8 + 7x)) = 1
(-64 + 56x + (-8 * 7x + 7x * 7x)) = 1
(-64 + 56x + (-56x + 49x2)) = 1

Combine like terms: 56x + -56x = 0
(-64 + 0 + 49x2) = 1
(-64 + 49x2) = 1

Solving
-64 + 49x2 = 1

Solving for variable 'x'.

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

Add '64' to each side of the equation.
-64 + 64 + 49x2 = 1 + 64

Combine like terms: -64 + 64 = 0
0 + 49x2 = 1 + 64
49x2 = 1 + 64

Combine like terms: 1 + 64 = 65
49x2 = 65

Divide each side by '49'.
x2 = 1.326530612

Simplifying
x2 = 1.326530612

Take the square root of each side:
x = {-1.151751107, 1.151751107}