(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}