=-5xyz^2(2x^4-5y^3z+3xy^4)

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Solution for =-5xyz^2(2x^4-5y^3z+3xy^4) equation: 


Simplifying
0 = -5xyz2(2x4 + -5y3z + 3xy4)

Reorder the terms:
0 = -5xyz2(3xy4 + 2x4 + -5y3z)
0 = (3xy4 * -5xyz2 + 2x4 * -5xyz2 + -5y3z * -5xyz2)

Reorder the terms:
0 = (25xy4z3 + -15x2y5z2 + -10x5yz2)
0 = (25xy4z3 + -15x2y5z2 + -10x5yz2)

Solving
0 = 25xy4z3 + -15x2y5z2 + -10x5yz2

Solving for variable 'x'.
Remove the zero:
-25xy4z3 + 15x2y5z2 + 10x5yz2 = 25xy4z3 + -15x2y5z2 + -10x5yz2 + -25xy4z3 + 15x2y5z2 + 10x5yz2

Reorder the terms:
-25xy4z3 + 15x2y5z2 + 10x5yz2 = 25xy4z3 + -25xy4z3 + -15x2y5z2 + 15x2y5z2 + -10x5yz2 + 10x5yz2

Combine like terms: 25xy4z3 + -25xy4z3 = 0
-25xy4z3 + 15x2y5z2 + 10x5yz2 = 0 + -15x2y5z2 + 15x2y5z2 + -10x5yz2 + 10x5yz2
-25xy4z3 + 15x2y5z2 + 10x5yz2 = -15x2y5z2 + 15x2y5z2 + -10x5yz2 + 10x5yz2

Combine like terms: -15x2y5z2 + 15x2y5z2 = 0
-25xy4z3 + 15x2y5z2 + 10x5yz2 = 0 + -10x5yz2 + 10x5yz2
-25xy4z3 + 15x2y5z2 + 10x5yz2 = -10x5yz2 + 10x5yz2

Combine like terms: -10x5yz2 + 10x5yz2 = 0
-25xy4z3 + 15x2y5z2 + 10x5yz2 = 0

Factor out the Greatest Common Factor (GCF), '5xyz2'.
5xyz2(-5y3z + 3xy4 + 2x4) = 0

Ignore the factor 5.

Subproblem 1
Set the factor 'xyz2' equal to zero and attempt to solve:

Simplifying
xyz2 = 0

Solving
xyz2 = 0

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

Simplifying
xyz2 = 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 '(-5y3z + 3xy4 + 2x4)' equal to zero and attempt to solve:

Simplifying
-5y3z + 3xy4 + 2x4 = 0

Reorder the terms:
3xy4 + 2x4 + -5y3z = 0

Solving
3xy4 + 2x4 + -5y3z = 0

The solution to this equation could not be determined.

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

The solution to this equation could not be determined.

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