(x+4)(x-4)=33

Solution for (x+4)(x-4)=33 equation:

Simplifying
(x + 4)(x + -4) = 33

Reorder the terms:
(4 + x)(x + -4) = 33

Reorder the terms:
(4 + x)(-4 + x) = 33

Multiply (4 + x) * (-4 + x)
(4(-4 + x) + x(-4 + x)) = 33
((-4 * 4 + x * 4) + x(-4 + x)) = 33
((-16 + 4x) + x(-4 + x)) = 33
(-16 + 4x + (-4 * x + x * x)) = 33
(-16 + 4x + (-4x + x2)) = 33

Combine like terms: 4x + -4x = 0
(-16 + 0 + x2) = 33
(-16 + x2) = 33

Solving
-16 + x2 = 33

Solving for variable 'x'.

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

Add '16' to each side of the equation.
-16 + 16 + x2 = 33 + 16

Combine like terms: -16 + 16 = 0
0 + x2 = 33 + 16
x2 = 33 + 16

Combine like terms: 33 + 16 = 49
x2 = 49

Simplifying
x2 = 49

Take the square root of each side:
x = {-7, 7}