x^8-x^6+27*x^4-27*x^2+12*y*x^6-12*y*x^4+42*y^2*x^4+42*y^2*x^2+2*y^3*x^4+26*y^3*x^2+8*y^3+12*y^4*x^2+12*y^4+6*y^5+y^6=25

Simple and best practice solution for x^8-x^6+27*x^4-27*x^2+12*y*x^6-12*y*x^4+42*y^2*x^4+42*y^2*x^2+2*y^3*x^4+26*y^3*x^2+8*y^3+12*y^4*x^2+12*y^4+6*y^5+y^6=25 equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to

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Solution for x^8-x^6+27*x^4-27*x^2+12*y*x^6-12*y*x^4+42*y^2*x^4+42*y^2*x^2+2*y^3*x^4+26*y^3*x^2+8*y^3+12*y^4*x^2+12*y^4+6*y^5+y^6=25 equation: 


Simplifying
x8 + -1x6 + 27x4 + -27x2 + 12y * x6 + -12y * x4 + 42y2 * x4 + 42y2 * x2 + 2y3 * x4 + 26y3 * x2 + 8y3 + 12y4 * x2 + 12y4 + 6y5 + y6 = 25

Multiply y * x6
x8 + -1x6 + 27x4 + -27x2 + 12x6y + -12y * x4 + 42y2 * x4 + 42y2 * x2 + 2y3 * x4 + 26y3 * x2 + 8y3 + 12y4 * x2 + 12y4 + 6y5 + y6 = 25

Multiply y * x4
x8 + -1x6 + 27x4 + -27x2 + 12x6y + -12x4y + 42y2 * x4 + 42y2 * x2 + 2y3 * x4 + 26y3 * x2 + 8y3 + 12y4 * x2 + 12y4 + 6y5 + y6 = 25

Multiply y2 * x4
x8 + -1x6 + 27x4 + -27x2 + 12x6y + -12x4y + 42x4y2 + 42y2 * x2 + 2y3 * x4 + 26y3 * x2 + 8y3 + 12y4 * x2 + 12y4 + 6y5 + y6 = 25

Multiply y2 * x2
x8 + -1x6 + 27x4 + -27x2 + 12x6y + -12x4y + 42x4y2 + 42x2y2 + 2y3 * x4 + 26y3 * x2 + 8y3 + 12y4 * x2 + 12y4 + 6y5 + y6 = 25

Multiply y3 * x4
x8 + -1x6 + 27x4 + -27x2 + 12x6y + -12x4y + 42x4y2 + 42x2y2 + 2x4y3 + 26y3 * x2 + 8y3 + 12y4 * x2 + 12y4 + 6y5 + y6 = 25

Multiply y3 * x2
x8 + -1x6 + 27x4 + -27x2 + 12x6y + -12x4y + 42x4y2 + 42x2y2 + 2x4y3 + 26x2y3 + 8y3 + 12y4 * x2 + 12y4 + 6y5 + y6 = 25

Multiply y4 * x2
x8 + -1x6 + 27x4 + -27x2 + 12x6y + -12x4y + 42x4y2 + 42x2y2 + 2x4y3 + 26x2y3 + 8y3 + 12x2y4 + 12y4 + 6y5 + y6 = 25

Reorder the terms:
-27x2 + 42x2y2 + 26x2y3 + 12x2y4 + 27x4 + -12x4y + 42x4y2 + 2x4y3 + -1x6 + 12x6y + x8 + 8y3 + 12y4 + 6y5 + y6 = 25

Solving
-27x2 + 42x2y2 + 26x2y3 + 12x2y4 + 27x4 + -12x4y + 42x4y2 + 2x4y3 + -1x6 + 12x6y + x8 + 8y3 + 12y4 + 6y5 + y6 = 25

Solving for variable 'x'.

Reorder the terms:
-25 + -27x2 + 42x2y2 + 26x2y3 + 12x2y4 + 27x4 + -12x4y + 42x4y2 + 2x4y3 + -1x6 + 12x6y + x8 + 8y3 + 12y4 + 6y5 + y6 = 25 + -25

Combine like terms: 25 + -25 = 0
-25 + -27x2 + 42x2y2 + 26x2y3 + 12x2y4 + 27x4 + -12x4y + 42x4y2 + 2x4y3 + -1x6 + 12x6y + x8 + 8y3 + 12y4 + 6y5 + y6 = 0

The solution to this equation could not be determined.

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