3xy^2(5x+3y+2z)=

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Solution for 3xy^2(5x+3y+2z)= equation: 


Simplifying
3xy2(5x + 3y + 2z) = 0
(5x * 3xy2 + 3y * 3xy2 + 2z * 3xy2) = 0

Reorder the terms:
(6xy2z + 9xy3 + 15x2y2) = 0
(6xy2z + 9xy3 + 15x2y2) = 0

Solving
6xy2z + 9xy3 + 15x2y2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3xy2'.
3xy2(2z + 3y + 5x) = 0

Ignore the factor 3.

Subproblem 1
Set the factor 'xy2' equal to zero and attempt to solve:

Simplifying
xy2 = 0

Solving
xy2 = 0

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

Simplifying
xy2 = 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 '(2z + 3y + 5x)' equal to zero and attempt to solve:

Simplifying
2z + 3y + 5x = 0

Reorder the terms:
5x + 3y + 2z = 0

Solving
5x + 3y + 2z = 0

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

Add '-3y' to each side of the equation.
5x + 3y + -3y + 2z = 0 + -3y

Combine like terms: 3y + -3y = 0
5x + 0 + 2z = 0 + -3y
5x + 2z = 0 + -3y
Remove the zero:
5x + 2z = -3y

Add '-2z' to each side of the equation.
5x + 2z + -2z = -3y + -2z

Combine like terms: 2z + -2z = 0
5x + 0 = -3y + -2z
5x = -3y + -2z

Divide each side by '5'.
x = -0.6y + -0.4z

Simplifying
x = -0.6y + -0.4z
Solution
x = {-0.6y + -0.4z}

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