(x-3)(x+3)=55

Solution for (x-3)(x+3)=55 equation:

Simplifying
(x + -3)(x + 3) = 55

Reorder the terms:
(-3 + x)(x + 3) = 55

Reorder the terms:
(-3 + x)(3 + x) = 55

Multiply (-3 + x) * (3 + x)
(-3(3 + x) + x(3 + x)) = 55
((3 * -3 + x * -3) + x(3 + x)) = 55
((-9 + -3x) + x(3 + x)) = 55
(-9 + -3x + (3 * x + x * x)) = 55
(-9 + -3x + (3x + x2)) = 55

Combine like terms: -3x + 3x = 0
(-9 + 0 + x2) = 55
(-9 + x2) = 55

Solving
-9 + x2 = 55

Solving for variable 'x'.

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

Add '9' to each side of the equation.
-9 + 9 + x2 = 55 + 9

Combine like terms: -9 + 9 = 0
0 + x2 = 55 + 9
x2 = 55 + 9

Combine like terms: 55 + 9 = 64
x2 = 64

Simplifying
x2 = 64

Take the square root of each side:
x = {-8, 8}