5x*3y(-2x+4x-3y-6z)=

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Solution for 5x*3y(-2x+4x-3y-6z)= equation: 


Simplifying
5x * 3y(-2x + 4x + -3y + -6z) = 0

Combine like terms: -2x + 4x = 2x
5x * 3y(2x + -3y + -6z) = 0

Reorder the terms for easier multiplication:
5 * 3x * y(2x + -3y + -6z) = 0

Multiply 5 * 3
15x * y(2x + -3y + -6z) = 0

Multiply x * y
15xy(2x + -3y + -6z) = 0
(2x * 15xy + -3y * 15xy + -6z * 15xy) = 0

Reorder the terms:
(-90xyz + -45xy2 + 30x2y) = 0
(-90xyz + -45xy2 + 30x2y) = 0

Solving
-90xyz + -45xy2 + 30x2y = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '15xy'.
15xy(-6z + -3y + 2x) = 0

Ignore the factor 15.

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

Simplifying
xy = 0

Solving
xy = 0

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

Simplifying
xy = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 2
Set the factor '(-6z + -3y + 2x)' equal to zero and attempt to solve:

Simplifying
-6z + -3y + 2x = 0

Reorder the terms:
2x + -3y + -6z = 0

Solving
2x + -3y + -6z = 0

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

Add '3y' to each side of the equation.
2x + -3y + 3y + -6z = 0 + 3y

Combine like terms: -3y + 3y = 0
2x + 0 + -6z = 0 + 3y
2x + -6z = 0 + 3y
Remove the zero:
2x + -6z = 3y

Add '6z' to each side of the equation.
2x + -6z + 6z = 3y + 6z

Combine like terms: -6z + 6z = 0
2x + 0 = 3y + 6z
2x = 3y + 6z

Divide each side by '2'.
x = 1.5y + 3z

Simplifying
x = 1.5y + 3z
Solution
x = {1.5y + 3z}

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