3x(4x+xy)=

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Solution for 3x(4x+xy)= equation: 


Simplifying
3x(4x + xy) = 0
(4x * 3x + xy * 3x) = 0
(12x2 + 3x2y) = 0

Solving
12x2 + 3x2y = 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), '3x2'.
3x2(4 + y) = 0

Ignore the factor 3.

Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve:

Simplifying
x2 = 0

Solving
x2 = 0

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

Simplifying
x2 = 0

Take the square root of each side:
x = {0}

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

Simplifying
4 + y = 0

Solving
4 + y = 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 + y = 0 + -4

Combine like terms: 4 + -4 = 0
0 + y = 0 + -4
y = 0 + -4

Combine like terms: 0 + -4 = -4
y = -4

Add '-1y' to each side of the equation.
y + -1y = -4 + -1y

Combine like terms: y + -1y = 0
0 = -4 + -1y

Simplifying
0 = -4 + -1y

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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