4(x)x-3xy(2x)=0

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Solution for 4(x)x-3xy(2x)=0 equation: 


Simplifying
4(x) * x + -3xy(2x) = 0

Multiply x * x
4x2 + -3xy(2x) = 0

Remove parenthesis around (2x)
4x2 + -3xy * 2x = 0

Reorder the terms for easier multiplication:
4x2 + -3 * 2xy * x = 0

Multiply -3 * 2
4x2 + -6xy * x = 0

Multiply xy * x
4x2 + -6x2y = 0

Solving
4x2 + -6x2y = 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), '2x2'.
2x2(2 + -3y) = 0

Ignore the factor 2.

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

Simplifying
2 + -3y = 0

Solving
2 + -3y = 0

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

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

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

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

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

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

Simplifying
0 = -2 + 3y

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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