8/2-((3)/(4x^2+16x))

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Solution for 8/2-((3)/(4x^2+16x)) equation: 


D( x )

4*x^2+16*x = 0

4*x^2+16*x = 0

4*x^2+16*x = 0

4*x^2+16*x = 0

DELTA = 16^2-(0*4*4)

DELTA = 256

DELTA > 0

x = (256^(1/2)-16)/(2*4) or x = (-256^(1/2)-16)/(2*4)

x = 0 or x = -4

x in (-oo:-4) U (-4:0) U (0:+oo)

8/2-(3/(4*x^2+16*x)) = 0

8/2-3*(4*x^2+16*x)^-1 = 0

4-3/(4*x^2+16*x) = 0

4*x^2+16*x = 0

4*x^2+16*x = 0

4*x*(x+4) = 0

x+4 = 0 // - 4

x = -4

4*x*(x+4) = 0

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

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

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

16*x^2+64*x-3 = 0

16*x^2+64*x-3 = 0

16*x^2+64*x-3 = 0

DELTA = 64^2-(-3*4*16)

DELTA = 4288

DELTA > 0

x = (4288^(1/2)-64)/(2*16) or x = (-4288^(1/2)-64)/(2*16)

x = (8*67^(1/2)-64)/32 or x = (-8*67^(1/2)-64)/32

(x-((-8*67^(1/2)-64)/32))*(x-((8*67^(1/2)-64)/32)) = 0

((x-((-8*67^(1/2)-64)/32))*(x-((8*67^(1/2)-64)/32)))/(4*x*(x+4)) = 0

((x-((-8*67^(1/2)-64)/32))*(x-((8*67^(1/2)-64)/32)))/(4*x*(x+4)) = 0 // * 4*x*(x+4)

(x-((-8*67^(1/2)-64)/32))*(x-((8*67^(1/2)-64)/32)) = 0

( x-((-8*67^(1/2)-64)/32) )

x-((-8*67^(1/2)-64)/32) = 0 // + (-8*67^(1/2)-64)/32

x = (-8*67^(1/2)-64)/32

( x-((8*67^(1/2)-64)/32) )

x-((8*67^(1/2)-64)/32) = 0 // + (8*67^(1/2)-64)/32

x = (8*67^(1/2)-64)/32

x in { (-8*67^(1/2)-64)/32, (8*67^(1/2)-64)/32 }

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