8/(2x-7)=4/(9-4x)

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Solution for 8/(2x-7)=4/(9-4x) equation: 


D( x )

9-(4*x) = 0

2*x-7 = 0

9-(4*x) = 0

9-(4*x) = 0

9-4*x = 0

9-4*x = 0 // - 9

-4*x = -9 // : -4

x = -9/(-4)

x = 9/4

2*x-7 = 0

2*x-7 = 0

2*x-7 = 0 // + 7

2*x = 7 // : 2

x = 7/2

x in (-oo:9/4) U (9/4:7/2) U (7/2:+oo)

8/(2*x-7) = 4/(9-(4*x)) // - 4/(9-(4*x))

8/(2*x-7)-(4/(9-(4*x))) = 0

8/(2*x-7)-4*(9-4*x)^-1 = 0

8/(2*x-7)-4/(9-4*x) = 0

(8*(9-4*x))/((2*x-7)*(9-4*x))+(-4*(2*x-7))/((2*x-7)*(9-4*x)) = 0

8*(9-4*x)-4*(2*x-7) = 0

100-40*x = 0

(100-40*x)/((2*x-7)*(9-4*x)) = 0

(100-40*x)/((2*x-7)*(9-4*x)) = 0 // * (2*x-7)*(9-4*x)

100-40*x = 0

100-40*x = 0 // - 100

-40*x = -100 // : -40

x = -100/(-40)

x = 5/2

x = 5/2

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