(x+4)(4-x)=0

Solution for (x+4)(4-x)=0 equation:

Simplifying
(x + 4)(4 + -1x) = 0

Reorder the terms:
(4 + x)(4 + -1x) = 0

Multiply (4 + x) * (4 + -1x)
(4(4 + -1x) + x(4 + -1x)) = 0
((4 * 4 + -1x * 4) + x(4 + -1x)) = 0
((16 + -4x) + x(4 + -1x)) = 0
(16 + -4x + (4 * x + -1x * x)) = 0
(16 + -4x + (4x + -1x2)) = 0

Combine like terms: -4x + 4x = 0
(16 + 0 + -1x2) = 0
(16 + -1x2) = 0

Solving
16 + -1x2 = 0

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 + -1x2 = 0 + -16

Combine like terms: 16 + -16 = 0
0 + -1x2 = 0 + -16
-1x2 = 0 + -16

Combine like terms: 0 + -16 = -16
-1x2 = -16

Divide each side by '-1'.
x2 = 16

Simplifying
x2 = 16

Take the square root of each side:
x = {-4, 4}