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

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

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

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

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

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

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

Solving
-49 + x2 = 1

Solving for variable 'x'.

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

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

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

Combine like terms: 1 + 49 = 50
x2 = 50

Simplifying
x2 = 50

Take the square root of each side:
x = {-7.071067812, 7.071067812}