(10x+3)/(5x+6)=1/2

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Solution for (10x+3)/(5x+6)=1/2 equation: 


D( x )

5*x+6 = 0

5*x+6 = 0

5*x+6 = 0

5*x+6 = 0 // - 6

5*x = -6 // : 5

x = -6/5

x in (-oo:-6/5) U (-6/5:+oo)

(10*x+3)/(5*x+6) = 1/2 // - 1/2

(10*x+3)/(5*x+6)-(1/2) = 0

(10*x+3)/(5*x+6)-1/2 = 0

(2*(10*x+3))/(2*(5*x+6))+(-1*(5*x+6))/(2*(5*x+6)) = 0

2*(10*x+3)-1*(5*x+6) = 0

15*x = 0

(15*x)/(2*(5*x+6)) = 0

(15*x)/(2*(5*x+6)) = 0 // * 2*(5*x+6)

15*x = 0

15*x = 0 // : 15

x = 0

x = 0

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