10x=(3x-2)/4x

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Solution for 10x=(3x-2)/4x equation: 


x in (-oo:+oo)

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

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

(-1*x*(3*x-2))/4+10*x = 0

(-1*x*(3*x-2))/4+(4*10*x)/4 = 0

4*10*x-1*x*(3*x-2) = 0

42*x-3*x^2 = 0

42*x-3*x^2 = 0

3*x*(14-x) = 0

14-x = 0 // - 14

-x = -14 // * -1

x = 14

3*x*(x-14) = 0

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

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

3*x*(x-14) = 0

( 3*x )

3*x = 0 // : 3

x = 0

( x-14 )

x-14 = 0 // + 14

x = 14

x in { 0, 14 }

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