(x+4)(3x+2)=0

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Solution for (x+4)(3x+2)=0 equation: 


Simplifying
(x + 4)(3x + 2) = 0

Reorder the terms:
(4 + x)(3x + 2) = 0

Reorder the terms:
(4 + x)(2 + 3x) = 0

Multiply (4 + x) * (2 + 3x)
(4(2 + 3x) + x(2 + 3x)) = 0
((2 * 4 + 3x * 4) + x(2 + 3x)) = 0
((8 + 12x) + x(2 + 3x)) = 0
(8 + 12x + (2 * x + 3x * x)) = 0
(8 + 12x + (2x + 3x2)) = 0

Combine like terms: 12x + 2x = 14x
(8 + 14x + 3x2) = 0

Solving
8 + 14x + 3x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(4 + x)(2 + 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 '(2 + 3x)' equal to zero and attempt to solve:

Simplifying
2 + 3x = 0

Solving
2 + 3x = 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 + 3x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 3x = 0 + -2
3x = 0 + -2

Combine like terms: 0 + -2 = -2
3x = -2

Divide each side by '3'.
x = -0.6666666667

Simplifying
x = -0.6666666667
Solution
x = {-4, -0.6666666667}

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