x/6x-y/2y=32

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Solution for x/6x-y/2y=32 equation: 


x in (-oo:+oo)

(x/6)*x-((y/2)*y) = 32 // - 32

(x/6)*x-((y/2)*y)-32 = 0

(x/6)*x+(-1/2)*y^2-32 = 0

1/6*x^2 = -(-1/2*y^2-32) // : 1/6

x^2 = 6*(32-(-1/2*y^2))

x^2 = 6*(1/2*y^2+32) // ^ 1/2

abs(x) = 6^(1/2)*(1/2*y^2+32)^(1/2)

x = 6^(1/2)*(1/2*y^2+32)^(1/2) or x = -(6^(1/2)*(1/2*y^2+32)^(1/2))

x in { 6^(1/2)*(1/2*y^2+32)^(1/2), -(6^(1/2)*(1/2*y^2+32)^(1/2)) }

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