4x=3y*-2x

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Solution for 4x=3y*-2x equation: 


Simplifying
4x = 3y * -2x

Reorder the terms for easier multiplication:
4x = 3 * -2y * x

Multiply 3 * -2
4x = -6y * x

Multiply y * x
4x = -6xy

Solving
4x = -6xy

Solving for variable 'x'.

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

Add '6xy' to each side of the equation.
4x + 6xy = -6xy + 6xy

Combine like terms: -6xy + 6xy = 0
4x + 6xy = 0

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

Ignore the factor 2.

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 '(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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