x/(3-4x)+5x/(4x-3)

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Solution for x/(3-4x)+5x/(4x-3) equation:


D( x )

3-(4*x) = 0

4*x-3 = 0

3-(4*x) = 0

3-(4*x) = 0

3-4*x = 0

3-4*x = 0 // - 3

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

x = -3/(-4)

x = 3/4

4*x-3 = 0

4*x-3 = 0

4*x-3 = 0 // + 3

4*x = 3 // : 4

x = 3/4

x in (-oo:3/4) U (3/4:+oo)

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

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

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

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

12*x-16*x^2 = 0

12*x-16*x^2 = 0

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

3-4*x = 0 // - 3

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

x = -3/(-4)

x = 3/4

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

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

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

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

( 4*x )

4*x = 0 // : 4

x = 0

( x-3/4 )

x-3/4 = 0 // + 3/4

x = 3/4

x in { 3/4}

x = 0

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