(30x/x^2-64)(3x-24/10x^2)

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Solution for (30x/x^2-64)(3x-24/10x^2) equation:


D( x )

x^2 = 0

x^2 = 0

x^2 = 0

1*x^2 = 0 // : 1

x^2 = 0

x = 0

x in (-oo:0) U (0:+oo)

((30*x)/(x^2)-64)*(3*x-((24/10)*x^2)) = 0

((30*x)/(x^2)-64)*((-12/5)*x^2+3*x) = 0

(30*x^-1-64)*(3*x-12/5*x^2) = 0

3*x-12/5*x^2 = 0

3*x*(1-4/5*x) = 0

1-4/5*x = 0 // - 1

-4/5*x = -1 // : -4/5

x = -1/(-4/5)

x = 5/4

3*x*(x-5/4) = 0

3*x*(30*x^-1-64)*(x-5/4) = 0

( 3*x )

3*x = 0 // : 3

x = 0

( 30*x^-1-64 )

30*x^-1 = 64 // : 30

x^-1 = 32/15

-1 < 0

1/(x^1) = 32/15 // * x^1

1 = 32/15*x^1 // : 32/15

15/32 = x^1

x = 15/32

( x-5/4 )

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

x = 5/4

x in { 0}

x in { 15/32, 5/4 }

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