(y^3-7x^4y^4)+(-10x^4y^3+6y^3+4x^4y^4)-(x^4y^3+6x^4y^4)=0

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Solution for (y^3-7x^4y^4)+(-10x^4y^3+6y^3+4x^4y^4)-(x^4y^3+6x^4y^4)=0 equation:


Simplifying
(y3 + -7x4y4) + (-10x4y3 + 6y3 + 4x4y4) + -1(x4y3 + 6x4y4) = 0

Reorder the terms:
(-7x4y4 + y3) + (-10x4y3 + 6y3 + 4x4y4) + -1(x4y3 + 6x4y4) = 0

Remove parenthesis around (-7x4y4 + y3)
-7x4y4 + y3 + (-10x4y3 + 6y3 + 4x4y4) + -1(x4y3 + 6x4y4) = 0

Reorder the terms:
-7x4y4 + y3 + (-10x4y3 + 4x4y4 + 6y3) + -1(x4y3 + 6x4y4) = 0

Remove parenthesis around (-10x4y3 + 4x4y4 + 6y3)
-7x4y4 + y3 + -10x4y3 + 4x4y4 + 6y3 + -1(x4y3 + 6x4y4) = 0
-7x4y4 + y3 + -10x4y3 + 4x4y4 + 6y3 + (x4y3 * -1 + 6x4y4 * -1) = 0
-7x4y4 + y3 + -10x4y3 + 4x4y4 + 6y3 + (-1x4y3 + -6x4y4) = 0

Reorder the terms:
-10x4y3 + -1x4y3 + -7x4y4 + 4x4y4 + -6x4y4 + y3 + 6y3 = 0

Combine like terms: -10x4y3 + -1x4y3 = -11x4y3
-11x4y3 + -7x4y4 + 4x4y4 + -6x4y4 + y3 + 6y3 = 0

Combine like terms: -7x4y4 + 4x4y4 = -3x4y4
-11x4y3 + -3x4y4 + -6x4y4 + y3 + 6y3 = 0

Combine like terms: -3x4y4 + -6x4y4 = -9x4y4
-11x4y3 + -9x4y4 + y3 + 6y3 = 0

Combine like terms: y3 + 6y3 = 7y3
-11x4y3 + -9x4y4 + 7y3 = 0

Solving
-11x4y3 + -9x4y4 + 7y3 = 0

Solving for variable 'x'.

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

Add '-7y3' to each side of the equation.
-11x4y3 + -9x4y4 + 7y3 + -7y3 = 0 + -7y3

Combine like terms: 7y3 + -7y3 = 0
-11x4y3 + -9x4y4 + 0 = 0 + -7y3
-11x4y3 + -9x4y4 = 0 + -7y3
Remove the zero:
-11x4y3 + -9x4y4 = -7y3

Combine like terms: -7y3 + 7y3 = 0
-11x4y3 + -9x4y4 + 7y3 = 0

Factor out the Greatest Common Factor (GCF), 'y3'.
y3(-11x4 + -9x4y + 7) = 0

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 '(-11x4 + -9x4y + 7)' equal to zero and attempt to solve: Simplifying -11x4 + -9x4y + 7 = 0 Reorder the terms: 7 + -11x4 + -9x4y = 0 Solving 7 + -11x4 + -9x4y = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -11x4 + -7 + -9x4y = 0 + -7 Reorder the terms: 7 + -7 + -11x4 + -9x4y = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -11x4 + -9x4y = 0 + -7 -11x4 + -9x4y = 0 + -7 Combine like terms: 0 + -7 = -7 -11x4 + -9x4y = -7 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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