x/90*((90-x)*50)=10x

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Solution for x/90*((90-x)*50)=10x equation: 


x in (-oo:+oo)

50*(x/90)*(90-x) = 10*x // - 10*x

50*(x/90)*(90-x)-(10*x) = 0

50*(x/90)*(90-x)-10*x = 0

5/9*x*(90-x)-10*x = 0

5/9*x*(90-x)-10*x = 0

40*x-5/9*x^2 = 0

40*x-5/9*x^2 = 0

5*x*(8-1/9*x) = 0

8-1/9*x = 0 // - 8

-1/9*x = -8 // : -1/9

x = -8/(-1/9)

x = 72

5*x*(x-72) = 0

5*x*(x-72) = 0

( 5*x )

5*x = 0 // : 5

x = 0

( x-72 )

x-72 = 0 // + 72

x = 72

x in { 0, 72 }

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