(6x^3/2x-8)(3x-12/9x^2)

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Solution for (6x^3/2x-8)(3x-12/9x^2) equation:


x in (-oo:+oo)

(x*((6*x^3)/2)-8)*(3*x-((12/9)*x^2)) = 0

(x*((6*x^3)/2)-8)*((-4/3)*x^2+3*x) = 0

(3*x^4-8)*(3*x-4/3*x^2) = 0

3*x-4/3*x^2 = 0

x*(3-4/3*x) = 0

3-4/3*x = 0 // - 3

-4/3*x = -3 // : -4/3

x = -3/(-4/3)

x = 9/4

x*(x-9/4) = 0

x*(3*x^4-8)*(x-9/4) = 0

( 3*x^4-8 )

3*x^4 = 8 // : 3

x^4 = 8/3

x^4 = 8/3 // ^ 1/4

abs(x) = (8/3)^(1/4)

x = (8/3)^(1/4) or x = -(8/3)^(1/4)

( x-9/4 )

x-9/4 = 0 // + 9/4

x = 9/4

( x )

x = 0

x in { (8/3)^(1/4), -(8/3)^(1/4), 9/4, 0 }

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