-4y^3-8xy^4=-4y^4(1+2xy)

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Solution for -4y^3-8xy^4=-4y^4(1+2xy) equation:


Simplifying
-4y3 + -8xy4 = -4y4(1 + 2xy)

Reorder the terms:
-8xy4 + -4y3 = -4y4(1 + 2xy)
-8xy4 + -4y3 = (1 * -4y4 + 2xy * -4y4)

Reorder the terms:
-8xy4 + -4y3 = (-8xy5 + -4y4)
-8xy4 + -4y3 = (-8xy5 + -4y4)

Solving
-8xy4 + -4y3 = -8xy5 + -4y4

Solving for variable 'x'.

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

Add '8xy5' to each side of the equation.
-8xy4 + 8xy5 + -4y3 = -8xy5 + 8xy5 + -4y4

Combine like terms: -8xy5 + 8xy5 = 0
-8xy4 + 8xy5 + -4y3 = 0 + -4y4
-8xy4 + 8xy5 + -4y3 = -4y4

Add '4y3' to each side of the equation.
-8xy4 + 8xy5 + -4y3 + 4y3 = 4y3 + -4y4

Combine like terms: -4y3 + 4y3 = 0
-8xy4 + 8xy5 + 0 = 4y3 + -4y4
-8xy4 + 8xy5 = 4y3 + -4y4

Reorder the terms:
-8xy4 + 8xy5 + -4y3 + 4y4 = 4y3 + -4y3 + -4y4 + 4y4

Combine like terms: 4y3 + -4y3 = 0
-8xy4 + 8xy5 + -4y3 + 4y4 = 0 + -4y4 + 4y4
-8xy4 + 8xy5 + -4y3 + 4y4 = -4y4 + 4y4

Combine like terms: -4y4 + 4y4 = 0
-8xy4 + 8xy5 + -4y3 + 4y4 = 0

Factor out the Greatest Common Factor (GCF), '4y3'.
4y3(-2xy + 2xy2 + -1 + y) = 0

Ignore the factor 4.

Subproblem 1

Set the factor 'y3' equal to zero and attempt to solve: Simplifying y3 = 0 Solving y3 = 0 Move all terms containing x to the left, all other terms to the right. Add '-1y3' to each side of the equation. y3 + -1y3 = 0 + -1y3 Remove the zero: 0 = -1y3 Simplifying 0 = -1y3 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 '(-2xy + 2xy2 + -1 + y)' equal to zero and attempt to solve: Simplifying -2xy + 2xy2 + -1 + y = 0 Reorder the terms: -1 + -2xy + 2xy2 + y = 0 Solving -1 + -2xy + 2xy2 + y = 0 Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + -2xy + 2xy2 + 1 + y = 0 + 1 Reorder the terms: -1 + 1 + -2xy + 2xy2 + y = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -2xy + 2xy2 + y = 0 + 1 -2xy + 2xy2 + y = 0 + 1 Combine like terms: 0 + 1 = 1 -2xy + 2xy2 + y = 1 Add '-1y' to each side of the equation. -2xy + 2xy2 + y + -1y = 1 + -1y Combine like terms: y + -1y = 0 -2xy + 2xy2 + 0 = 1 + -1y -2xy + 2xy2 = 1 + -1y 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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