=-3y^3X^2(2y-7)-xy^2(2+8y)

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Solution for =-3y^3X^2(2y-7)-xy^2(2+8y) equation: 


Simplifying
0 = -3y3X2(2y + -7) + -1xy2(2 + 8y)

Reorder the terms:
0 = -3y3X2(-7 + 2y) + -1xy2(2 + 8y)
0 = (-7 * -3y3X2 + 2y * -3y3X2) + -1xy2(2 + 8y)
0 = (21y3X2 + -6y4X2) + -1xy2(2 + 8y)
0 = 21y3X2 + -6y4X2 + (2 * -1xy2 + 8y * -1xy2)
0 = 21y3X2 + -6y4X2 + (-2xy2 + -8xy3)

Reorder the terms:
0 = -2xy2 + -8xy3 + 21y3X2 + -6y4X2

Solving
0 = -2xy2 + -8xy3 + 21y3X2 + -6y4X2

Solving for variable 'x'.

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

Add '2xy2' to each side of the equation.
0 + 2xy2 = -2xy2 + -8xy3 + 21y3X2 + 2xy2 + -6y4X2
Remove the zero:
2xy2 = -2xy2 + -8xy3 + 21y3X2 + 2xy2 + -6y4X2

Reorder the terms:
2xy2 = -2xy2 + 2xy2 + -8xy3 + 21y3X2 + -6y4X2

Combine like terms: -2xy2 + 2xy2 = 0
2xy2 = 0 + -8xy3 + 21y3X2 + -6y4X2
2xy2 = -8xy3 + 21y3X2 + -6y4X2

Add '8xy3' to each side of the equation.
2xy2 + 8xy3 = -8xy3 + 21y3X2 + 8xy3 + -6y4X2

Reorder the terms:
2xy2 + 8xy3 = -8xy3 + 8xy3 + 21y3X2 + -6y4X2

Combine like terms: -8xy3 + 8xy3 = 0
2xy2 + 8xy3 = 0 + 21y3X2 + -6y4X2
2xy2 + 8xy3 = 21y3X2 + -6y4X2

Reorder the terms:
2xy2 + 8xy3 + -21y3X2 + 6y4X2 = 21y3X2 + -21y3X2 + -6y4X2 + 6y4X2

Combine like terms: 21y3X2 + -21y3X2 = 0
2xy2 + 8xy3 + -21y3X2 + 6y4X2 = 0 + -6y4X2 + 6y4X2
2xy2 + 8xy3 + -21y3X2 + 6y4X2 = -6y4X2 + 6y4X2

Combine like terms: -6y4X2 + 6y4X2 = 0
2xy2 + 8xy3 + -21y3X2 + 6y4X2 = 0

Factor out the Greatest Common Factor (GCF), 'y2'.
y2(2x + 8xy + -21yX2 + 6y2X2) = 0


Subproblem 1
Set the factor 'y2' equal to zero and attempt to solve:

Simplifying
y2 = 0

Solving
y2 = 0

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

Add '-1y2' to each side of the equation.
y2 + -1y2 = 0 + -1y2
Remove the zero:
0 = -1y2

Simplifying
0 = -1y2

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 '(2x + 8xy + -21yX2 + 6y2X2)' equal to zero and attempt to solve:

Simplifying
2x + 8xy + -21yX2 + 6y2X2 = 0

Solving
2x + 8xy + -21yX2 + 6y2X2 = 0

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

Add '21yX2' to each side of the equation.
2x + 8xy + -21yX2 + 21yX2 + 6y2X2 = 0 + 21yX2

Combine like terms: -21yX2 + 21yX2 = 0
2x + 8xy + 0 + 6y2X2 = 0 + 21yX2
2x + 8xy + 6y2X2 = 0 + 21yX2
Remove the zero:
2x + 8xy + 6y2X2 = 21yX2

Add '-6y2X2' to each side of the equation.
2x + 8xy + 6y2X2 + -6y2X2 = 21yX2 + -6y2X2

Combine like terms: 6y2X2 + -6y2X2 = 0
2x + 8xy + 0 = 21yX2 + -6y2X2
2x + 8xy = 21yX2 + -6y2X2

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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