(6+x)(3x+11)=

Solution for (6+x)(3x+11)= equation:

Simplifying
(6 + x)(3x + 11) = 0

Reorder the terms:
(6 + x)(11 + 3x) = 0

Multiply (6 + x) * (11 + 3x)
(6(11 + 3x) + x(11 + 3x)) = 0
((11 * 6 + 3x * 6) + x(11 + 3x)) = 0
((66 + 18x) + x(11 + 3x)) = 0
(66 + 18x + (11 * x + 3x * x)) = 0
(66 + 18x + (11x + 3x2)) = 0

Combine like terms: 18x + 11x = 29x
(66 + 29x + 3x2) = 0

Solving
66 + 29x + 3x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(6 + x)(11 + 3x) = 0

Subproblem 1
Set the factor '(6 + x)' equal to zero and attempt to solve:

Simplifying
6 + x = 0

Solving
6 + x = 0

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

Add '-6' to each side of the equation.
6 + -6 + x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + x = 0 + -6
x = 0 + -6

Combine like terms: 0 + -6 = -6
x = -6

Simplifying
x = -6
Subproblem 2
Set the factor '(11 + 3x)' equal to zero and attempt to solve:

Simplifying
11 + 3x = 0

Solving
11 + 3x = 0

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

Add '-11' to each side of the equation.
11 + -11 + 3x = 0 + -11

Combine like terms: 11 + -11 = 0
0 + 3x = 0 + -11
3x = 0 + -11

Combine like terms: 0 + -11 = -11
3x = -11

Divide each side by '3'.
x = -3.666666667

Simplifying
x = -3.666666667
Solution
x = {-6, -3.666666667}