(2/(x-14))=(3/(4x))

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Solution for (2/(x-14))=(3/(4x)) equation:


D( x )

4*x = 0

x-14 = 0

4*x = 0

4*x = 0

4*x = 0 // : 4

x = 0

x-14 = 0

x-14 = 0

x-14 = 0 // + 14

x = 14

x in (-oo:0) U (0:14) U (14:+oo)

2/(x-14) = 3/(4*x) // - 3/(4*x)

2/(x-14)-(3/(4*x)) = 0

2/(x-14)+(-3/4)*x^-1 = 0

2/(x-14)-3/(4*x) = 0

(2*4*x)/(4*x*(x-14))+(-3*(x-14))/(4*x*(x-14)) = 0

2*4*x-3*(x-14) = 0

5*x+42 = 0

(5*x+42)/(4*x*(x-14)) = 0

(5*x+42)/(4*x*(x-14)) = 0 // * 4*x*(x-14)

5*x+42 = 0

5*x+42 = 0 // - 42

5*x = -42 // : 5

x = -42/5

x = -42/5

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