x/7=x/5(3-x)

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Solution for x/7=x/5(3-x) equation: 


x in (-oo:+oo)

x/7 = (x/5)*(3-x) // - (x/5)*(3-x)

x/7-((x/5)*(3-x)) = 0

x/7-1*1/5*x*(3-x) = 0

(-1*1/5*7*x*(3-x))/7+x/7 = 0

x-1*1/5*7*x*(3-x) = 0

7/5*x^2-16/5*x = 0

7/5*x^2-16/5*x = 0

1/5*x*(7*x-16) = 0

7*x-16 = 0 // + 16

7*x = 16 // : 7

x = 16/7

1/5*x*(x-16/7) = 0

(1/5*x*(x-16/7))/7 = 0

(1/5*x*(x-16/7))/7 = 0 // * 7

1/5*x*(x-16/7) = 0

( 1/5*x )

1/5*x = 0 // : 1/5

x = 0

( x-16/7 )

x-16/7 = 0 // + 16/7

x = 16/7

x in { 0, 16/7 }

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