3X[4X-3(2+X)]=

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

Simplifying
3X[4X + -3(2 + X)] = 0
3X[4X + (2 * -3 + X * -3)] = 0
3X[4X + (-6 + -3X)] = 0

Reorder the terms:
3X[-6 + 4X + -3X] = 0

Combine like terms: 4X + -3X = 1X
3X[-6 + 1X] = 0
[-6 * 3X + 1X * 3X] = 0
[-18X + 3X2] = 0

Solving
-18X + 3X2 = 0

Solving for variable 'X'.

Factor out the Greatest Common Factor (GCF), '3X'.
3X(-6 + X) = 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 '(-6 + X)' equal to zero and attempt to solve:

Simplifying
-6 + X = 0

Solving
-6 + X = 0

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

Add '6' to each side of the equation.
-6 + 6 + X = 0 + 6

Combine like terms: -6 + 6 = 0
0 + X = 0 + 6
X = 0 + 6

Combine like terms: 0 + 6 = 6
X = 6

Simplifying
X = 6
Solution
X = {0, 6}