3x[x+2(x+4)]=

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


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

Reorder the terms:
3x[x + 2(4 + x)] = 0
3x[x + (4 * 2 + x * 2)] = 0
3x[x + (8 + 2x)] = 0

Reorder the terms:
3x[8 + x + 2x] = 0

Combine like terms: x + 2x = 3x
3x[8 + 3x] = 0
[8 * 3x + 3x * 3x] = 0
[24x + 9x2] = 0

Solving
24x + 9x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3x'.
3x(8 + 3x) = 0

Ignore the factor 3.

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 '(8 + 3x)' equal to zero and attempt to solve:

Simplifying
8 + 3x = 0

Solving
8 + 3x = 0

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

Add '-8' to each side of the equation.
8 + -8 + 3x = 0 + -8

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

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

Divide each side by '3'.
x = -2.666666667

Simplifying
x = -2.666666667
Solution
x = {0, -2.666666667}

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