(x+7+x+1)(x)=

Solution for (x+7+x+1)(x)= equation:

Simplifying
(x + 7 + x + 1)(x) = 0

Reorder the terms:
(7 + 1 + x + x)(x) = 0

Combine like terms: 7 + 1 = 8
(8 + x + x)(x) = 0

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

Reorder the terms for easier multiplication:
x(8 + 2x) = 0
(8 * x + 2x * x) = 0
(8x + 2x2) = 0

Solving
8x + 2x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x'.
2x(4 + x) = 0

Ignore the factor 2.
Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0
Subproblem 2
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
Solution
x = {0, -4}