x(x+2)-2(x+4)=1

Solution for x(x+2)-2(x+4)=1 equation:

Simplifying
x(x + 2) + -2(x + 4) = 1

Reorder the terms:
x(2 + x) + -2(x + 4) = 1
(2 * x + x * x) + -2(x + 4) = 1
(2x + x2) + -2(x + 4) = 1

Reorder the terms:
2x + x2 + -2(4 + x) = 1
2x + x2 + (4 * -2 + x * -2) = 1
2x + x2 + (-8 + -2x) = 1

Reorder the terms:
-8 + 2x + -2x + x2 = 1

Combine like terms: 2x + -2x = 0
-8 + 0 + x2 = 1
-8 + x2 = 1

Solving
-8 + x2 = 1

Solving for variable 'x'.

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

Add '8' to each side of the equation.
-8 + 8 + x2 = 1 + 8

Combine like terms: -8 + 8 = 0
0 + x2 = 1 + 8
x2 = 1 + 8

Combine like terms: 1 + 8 = 9
x2 = 9

Simplifying
x2 = 9

Take the square root of each side:
x = {-3, 3}