abs((17x-7)/x)=16

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Solution for abs((17x-7)/x)=16 equation:


D( x )

x = 0

x = 0

x = 0

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

abs((17*x-7)/x) = 16 // - 16

abs((17*x-7)/x)-16 = 0

abs((17*x-7)/x)-16 = 0

x in (-oo:+oo)

abs((17*x-7)/x)

(17*x-7)/x >= 0

( 17*x-7 )

17*x-7 >= 0 // + 7

17*x >= 7 // : 17

x >= 7/17

( x )

x+0 >= 0 // - 0

x >= 0

(-oo:0) (0:7/17) (7/17:+oo) 17*x-7 - - + x - + +

x in (-oo:0> U <7/17:+oo)

(17*x-7)/x-16 = 0

x in (0:7/17)

-((17*x-7)/x)-16 = 0

abs((17*x-7)/x)-16 = 0

/ | (17*x-7)/x-16 = 0 i x in (-oo:0> U <7/17:+oo) | -((17*x-7)/x)-16 = 0 i x in (0:7/17)

x in (-oo:0> U <7/17:+oo)

(17*x-7)/x-16 = 0

(17*x-7)/x+(-16*x)/x = 0

17*x-16*x-7 = 0

x-7 = 0

(x-7)/x = 0

(x-7)/x = 0 // * x

x-7 = 0

x-7 = 0 // + 7

x = 7

x in (0:7/17)

-((17*x-7)/x)-16 = 0

(-1*(17*x-7))/x-16 = 0

(-1*(17*x-7))/x+(-16*x)/x = 0

-1*(17*x-7)-16*x = 0

7-33*x = 0

(7-33*x)/x = 0

(7-33*x)/x = 0 // * x

7-33*x = 0

7-33*x = 0 // - 7

-33*x = -7 // : -33

x = -7/(-33)

x = 7/33

x in { 7, 7/33 }

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