(7)/(8)-(9)/(4x)=(x-2)/(x)

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Solution for (7)/(8)-(9)/(4x)=(x-2)/(x) equation:


D( x )

x = 0

4*x = 0

x = 0

x = 0

4*x = 0

4*x = 0

4*x = 0 // : 4

x = 0

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

7/8-(9/(4*x)) = (x-2)/x // - (x-2)/x

7/8-((x-2)/x)-(9/(4*x)) = 0

(-9/4)*x^-1-((x-2)/x)+7/8 = 0

(-1*(x-2))/x-9/(4*x)+7/8 = 0

(-1*4*8*x*(x-2))/(4*8*x*x)+(-9*8*x)/(4*8*x*x)+(4*7*x*x)/(4*8*x*x) = 0

4*7*x*x-1*4*8*x*(x-2)-9*8*x = 0

28*x^2-32*x^2-8*x = 0

-4*x^2-8*x = 0

-4*x^2-8*x = 0

-4*x*(x+2) = 0

x+2 = 0 // - 2

x = -2

-4*x*(x+2) = 0

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

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

-4*x*(x+2) = 0

( -4*x )

-4*x = 0 // : -4

x = 0

( x+2 )

x+2 = 0 // - 2

x = -2

x in { 0}

x = -2

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