4x(2y+3z-12)=

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Solution for 4x(2y+3z-12)= equation: 


Simplifying
4x(2y + 3z + -12) = 0

Reorder the terms:
4x(-12 + 2y + 3z) = 0
(-12 * 4x + 2y * 4x + 3z * 4x) = 0
(-48x + 8xy + 12xz) = 0

Solving
-48x + 8xy + 12xz = 0

Solving for variable 'x'.

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

Factor out the Greatest Common Factor (GCF), '4x'.
4x(-12 + 2y + 3z) = 0

Ignore the factor 4.

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 '(-12 + 2y + 3z)' equal to zero and attempt to solve:

Simplifying
-12 + 2y + 3z = 0

Solving
-12 + 2y + 3z = 0

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

Add '12' to each side of the equation.
-12 + 2y + 12 + 3z = 0 + 12

Reorder the terms:
-12 + 12 + 2y + 3z = 0 + 12

Combine like terms: -12 + 12 = 0
0 + 2y + 3z = 0 + 12
2y + 3z = 0 + 12

Combine like terms: 0 + 12 = 12
2y + 3z = 12

Add '-2y' to each side of the equation.
2y + -2y + 3z = 12 + -2y

Combine like terms: 2y + -2y = 0
0 + 3z = 12 + -2y
3z = 12 + -2y

Add '-3z' to each side of the equation.
3z + -3z = 12 + -2y + -3z

Combine like terms: 3z + -3z = 0
0 = 12 + -2y + -3z

Simplifying
0 = 12 + -2y + -3z

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
x = {0}

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