(3y^2+12y-21)/3y=x

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Solution for (3y^2+12y-21)/3y=x equation:


x in (-oo:+oo)

y*((3*y^2+12*y-21)/3) = x // - x

y*((3*y^2+12*y-21)/3)-x = 0

(y*(3*y^2+12*y-21))/3-x = 0

(y*(3*y^2+12*y-21))/3+(3*(-x))/3 = 0

y*(3*y^2+12*y-21)+3*(-x) = 0

3*y^3-3*x+12*y^2-21*y = 0

(3*y^3-3*x+12*y^2-21*y)/3 = 0

(3*y^3-3*x+12*y^2-21*y)/3 = 0 // * 3

3*y^3-3*x+12*y^2-21*y = 0

3*y^3-3*x+12*y^2-21*y = 0 // - 3*y^3+12*y^2-21*y

-3*x = -(3*y^3+12*y^2-21*y) // : -3

x = (-(3*y^3+12*y^2-21*y))/(-3)

x = (3*y^3+12*y^2-21*y)/3

x = (3*y^3+12*y^2-21*y)/3

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