(7x+4x)(x+2)=

Solution for (7x+4x)(x+2)= equation:

Simplifying
(7x + 4x)(x + 2) = 0

Combine like terms: 7x + 4x = 11x
(11x)(x + 2) = 0

Remove parenthesis around (11x)
11x(x + 2) = 0

Reorder the terms:
11x(2 + x) = 0
(2 * 11x + x * 11x) = 0
(22x + 11x2) = 0

Solving
22x + 11x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '11x'.
11x(2 + x) = 0

Ignore the factor 11.
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 '(2 + x)' equal to zero and attempt to solve:

Simplifying
2 + x = 0

Solving
2 + x = 0

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

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

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

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

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