(16x^5y^6+20x^4y^7)/4x^3y^5

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Solution for (16x^5y^6+20x^4y^7)/4x^3y^5 equation:


x in (-oo:+oo)

x^3*y^5*((20*x^4*y^7+16*x^5*y^6)/4) = 0

(x^3*y^5*(20*x^4*y^7+16*x^5*y^6))/4 = 0

20*x^4*y^7+16*x^5*y^6 = 0

4*x^4*y^6*(4*x+5*y) = 0

4*x+5*y = 0 // - 5*y

4*x = -(5*y) // : 4

x = (-(5*y))/4

x = (-5*y)/4

4*x^4*y^6*(x+5/4*y) = 0

(4*x^3*x^4*y^5*y^6*(x+5/4*y))/4 = 0

( 4*x^4*y^6 )

4*x^4*y^6 = 0 // : 4*y^6

x^4 = 0

x = 0

( x+5/4*y )

x+5/4*y = 0 // - 5/4*y

x = -(5/4*y)

x = -5/4*y

( x^3*y^5 )

x^3*y^5 = 0 // : y^5

x^3 = 0

x = 0

x in { 0, -5/4*y, 0 }

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