(7x+5)/(9x+10)=3/4

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Solution for (7x+5)/(9x+10)=3/4 equation: 


D( x )

9*x+10 = 0

9*x+10 = 0

9*x+10 = 0

9*x+10 = 0 // - 10

9*x = -10 // : 9

x = -10/9

x in (-oo:-10/9) U (-10/9:+oo)

(7*x+5)/(9*x+10) = 3/4 // - 3/4

(7*x+5)/(9*x+10)-(3/4) = 0

(7*x+5)/(9*x+10)-3/4 = 0

(4*(7*x+5))/(4*(9*x+10))+(-3*(9*x+10))/(4*(9*x+10)) = 0

4*(7*x+5)-3*(9*x+10) = 0

x-10 = 0

(x-10)/(4*(9*x+10)) = 0

(x-10)/(4*(9*x+10)) = 0 // * 4*(9*x+10)

x-10 = 0

x-10 = 0 // + 10

x = 10

x = 10

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