(7)/(v)=(4v-1)/(5v)

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Solution for (7)/(v)=(4v-1)/(5v) equation:


D( v )

v = 0

5*v = 0

v = 0

v = 0

5*v = 0

5*v = 0

5*v = 0 // : 5

v = 0

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

7/v = (4*v-1)/(5*v) // - (4*v-1)/(5*v)

7/v-((4*v-1)/(5*v)) = 0

(-1*(4*v-1))/(5*v)+7/v = 0

(-1*v*(4*v-1))/(5*v*v)+(5*7*v)/(5*v*v) = 0

5*7*v-1*v*(4*v-1) = 0

36*v-4*v^2 = 0

36*v-4*v^2 = 0

4*v*(9-v) = 0

9-v = 0 // - 9

-v = -9 // * -1

v = 9

4*v*(v-9) = 0

(4*v*(v-9))/(5*v*v) = 0

(4*v*(v-9))/(5*v*v) = 0 // * 5*v*v

4*v*(v-9) = 0

( 4*v )

4*v = 0 // : 4

v = 0

( v-9 )

v-9 = 0 // + 9

v = 9

v in { 0}

v = 9

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