(x-4)(2x+8)=2

Solution for (x-4)(2x+8)=2 equation:

Simplifying
(x + -4)(2x + 8) = 2

Reorder the terms:
(-4 + x)(2x + 8) = 2

Reorder the terms:
(-4 + x)(8 + 2x) = 2

Multiply (-4 + x) * (8 + 2x)
(-4(8 + 2x) + x(8 + 2x)) = 2
((8 * -4 + 2x * -4) + x(8 + 2x)) = 2
((-32 + -8x) + x(8 + 2x)) = 2
(-32 + -8x + (8 * x + 2x * x)) = 2
(-32 + -8x + (8x + 2x2)) = 2

Combine like terms: -8x + 8x = 0
(-32 + 0 + 2x2) = 2
(-32 + 2x2) = 2

Solving
-32 + 2x2 = 2

Solving for variable 'x'.

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

Add '32' to each side of the equation.
-32 + 32 + 2x2 = 2 + 32

Combine like terms: -32 + 32 = 0
0 + 2x2 = 2 + 32
2x2 = 2 + 32

Combine like terms: 2 + 32 = 34
2x2 = 34

Divide each side by '2'.
x2 = 17

Simplifying
x2 = 17

Take the square root of each side:
x = {-4.123105626, 4.123105626}