-x(2x+6x)=-24

Solution for -x(2x+6x)=-24 equation:

Simplifying
-1x(2x + 6x) = -24

Combine like terms: 2x + 6x = 8x
-1x(8x) = -24

Remove parenthesis around (8x)
-1x * 8x = -24

Reorder the terms for easier multiplication:
-1 * 8x * x = -24

Multiply -1 * 8
-8x * x = -24

Multiply x * x
-8x2 = -24

Solving
-8x2 = -24

Solving for variable 'x'.

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

Divide each side by '-8'.
x2 = 3

Simplifying
x2 = 3

Take the square root of each side:
x = {-1.732050808, 1.732050808}