(3X+4)(X+2)=

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Solution for (3X+4)(X+2)= equation: 


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

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

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

Multiply (4 + 3X) * (2 + X)
(4(2 + X) + 3X * (2 + X)) = 0
((2 * 4 + X * 4) + 3X * (2 + X)) = 0
((8 + 4X) + 3X * (2 + X)) = 0
(8 + 4X + (2 * 3X + X * 3X)) = 0
(8 + 4X + (6X + 3X2)) = 0

Combine like terms: 4X + 6X = 10X
(8 + 10X + 3X2) = 0

Solving
8 + 10X + 3X2 = 0

Solving for variable 'X'.

Factor a trinomial.
(2 + X)(4 + 3X) = 0


Subproblem 1
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

Subproblem 2
Set the factor '(4 + 3X)' equal to zero and attempt to solve:

Simplifying
4 + 3X = 0

Solving
4 + 3X = 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 + 3X = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 3X = 0 + -4
3X = 0 + -4

Combine like terms: 0 + -4 = -4
3X = -4

Divide each side by '3'.
X = -1.333333333

Simplifying
X = -1.333333333
Solution
X = {-2, -1.333333333}

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