(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}