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

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

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

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

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

Solving
8x + 2x2 = -4 + -1x

Solving for variable 'x'.

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

Combine like terms: 8x + x = 9x
4 + 9x + 2x2 = -4 + -1x + 4 + x

Reorder the terms:
4 + 9x + 2x2 = -4 + 4 + -1x + x

Combine like terms: -4 + 4 = 0
4 + 9x + 2x2 = 0 + -1x + x
4 + 9x + 2x2 = -1x + x

Combine like terms: -1x + x = 0
4 + 9x + 2x2 = 0

Factor a trinomial.
(4 + x)(1 + 2x) = 0

Subproblem 1
Set the factor '(4 + x)' equal to zero and attempt to solve:

Simplifying
4 + x = 0

Solving
4 + x = 0

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

Add '-4' to each side of the equation.
4 + -4 + x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + x = 0 + -4
x = 0 + -4

Combine like terms: 0 + -4 = -4
x = -4

Simplifying
x = -4
Subproblem 2
Set the factor '(1 + 2x)' equal to zero and attempt to solve:

Simplifying
1 + 2x = 0

Solving
1 + 2x = 0

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

Add '-1' to each side of the equation.
1 + -1 + 2x = 0 + -1

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

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

Divide each side by '2'.
x = -0.5

Simplifying
x = -0.5
Solution
x = {-4, -0.5}