(3x+4)(x+2)=8

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Solution for (3x+4)(x+2)=8 equation: 


Simplifying
(3x + 4)(x + 2) = 8

Reorder the terms:
(4 + 3x)(x + 2) = 8

Reorder the terms:
(4 + 3x)(2 + x) = 8

Multiply (4 + 3x) * (2 + x)
(4(2 + x) + 3x * (2 + x)) = 8
((2 * 4 + x * 4) + 3x * (2 + x)) = 8
((8 + 4x) + 3x * (2 + x)) = 8
(8 + 4x + (2 * 3x + x * 3x)) = 8
(8 + 4x + (6x + 3x2)) = 8

Combine like terms: 4x + 6x = 10x
(8 + 10x + 3x2) = 8

Add '-8' to each side of the equation.
8 + 10x + -8 + 3x2 = 8 + -8

Reorder the terms:
8 + -8 + 10x + 3x2 = 8 + -8

Combine like terms: 8 + -8 = 0
0 + 10x + 3x2 = 8 + -8
10x + 3x2 = 8 + -8

Combine like terms: 8 + -8 = 0
10x + 3x2 = 0

Solving
10x + 3x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(10 + 3x) = 0


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 '(10 + 3x)' equal to zero and attempt to solve:

Simplifying
10 + 3x = 0

Solving
10 + 3x = 0

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

Add '-10' to each side of the equation.
10 + -10 + 3x = 0 + -10

Combine like terms: 10 + -10 = 0
0 + 3x = 0 + -10
3x = 0 + -10

Combine like terms: 0 + -10 = -10
3x = -10

Divide each side by '3'.
x = -3.333333333

Simplifying
x = -3.333333333
Solution
x = {0, -3.333333333}

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