y=24x^4y^5-8x^2y+4xy

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Solution for y=24x^4y^5-8x^2y+4xy equation: 


Simplifying
y = 24x4y5 + -8x2y + 4xy

Reorder the terms:
y = 4xy + -8x2y + 24x4y5

Solving
y = 4xy + -8x2y + 24x4y5

Solving for variable 'y'.

Reorder the terms:
-4xy + 8x2y + -24x4y5 + y = 4xy + -8x2y + 24x4y5 + -4xy + 8x2y + -24x4y5

Reorder the terms:
-4xy + 8x2y + -24x4y5 + y = 4xy + -4xy + -8x2y + 8x2y + 24x4y5 + -24x4y5

Combine like terms: 4xy + -4xy = 0
-4xy + 8x2y + -24x4y5 + y = 0 + -8x2y + 8x2y + 24x4y5 + -24x4y5
-4xy + 8x2y + -24x4y5 + y = -8x2y + 8x2y + 24x4y5 + -24x4y5

Combine like terms: -8x2y + 8x2y = 0
-4xy + 8x2y + -24x4y5 + y = 0 + 24x4y5 + -24x4y5
-4xy + 8x2y + -24x4y5 + y = 24x4y5 + -24x4y5

Combine like terms: 24x4y5 + -24x4y5 = 0
-4xy + 8x2y + -24x4y5 + y = 0

Factor out the Greatest Common Factor (GCF), 'y'.
y(-4x + 8x2 + -24x4y4 + 1) = 0


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

Simplifying
y = 0

Solving
y = 0

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

Simplifying
y = 0

Subproblem 2
Set the factor '(-4x + 8x2 + -24x4y4 + 1)' equal to zero and attempt to solve:

Simplifying
-4x + 8x2 + -24x4y4 + 1 = 0

Reorder the terms:
1 + -4x + 8x2 + -24x4y4 = 0

Solving
1 + -4x + 8x2 + -24x4y4 = 0

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

Add '-1' to each side of the equation.
1 + -4x + 8x2 + -1 + -24x4y4 = 0 + -1

Reorder the terms:
1 + -1 + -4x + 8x2 + -24x4y4 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -4x + 8x2 + -24x4y4 = 0 + -1
-4x + 8x2 + -24x4y4 = 0 + -1

Combine like terms: 0 + -1 = -1
-4x + 8x2 + -24x4y4 = -1

Add '4x' to each side of the equation.
-4x + 8x2 + 4x + -24x4y4 = -1 + 4x

Reorder the terms:
-4x + 4x + 8x2 + -24x4y4 = -1 + 4x

Combine like terms: -4x + 4x = 0
0 + 8x2 + -24x4y4 = -1 + 4x
8x2 + -24x4y4 = -1 + 4x

Add '-8x2' to each side of the equation.
8x2 + -8x2 + -24x4y4 = -1 + 4x + -8x2

Combine like terms: 8x2 + -8x2 = 0
0 + -24x4y4 = -1 + 4x + -8x2
-24x4y4 = -1 + 4x + -8x2

Divide each side by '-24x4'.
y4 = 0.04166666667x-4 + -0.1666666667x-3 + 0.3333333333x-2

Simplifying
y4 = 0.04166666667x-4 + -0.1666666667x-3 + 0.3333333333x-2

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
y = {0}

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