(x+4)(3x+11)=0

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Solution for (x+4)(3x+11)=0 equation: 


Simplifying
(x + 4)(3x + 11) = 0

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

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

Multiply (4 + x) * (11 + 3x)
(4(11 + 3x) + x(11 + 3x)) = 0
((11 * 4 + 3x * 4) + x(11 + 3x)) = 0
((44 + 12x) + x(11 + 3x)) = 0
(44 + 12x + (11 * x + 3x * x)) = 0
(44 + 12x + (11x + 3x2)) = 0

Combine like terms: 12x + 11x = 23x
(44 + 23x + 3x2) = 0

Solving
44 + 23x + 3x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(4 + x)(11 + 3x) = 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 '(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 = {-4, -3.666666667}

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