(8x+5)/(10x-7)=(4x+3)/(5x+7)

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Solution for (8x+5)/(10x-7)=(4x+3)/(5x+7) equation:


D( x )

5*x+7 = 0

10*x-7 = 0

5*x+7 = 0

5*x+7 = 0

5*x+7 = 0 // - 7

5*x = -7 // : 5

x = -7/5

10*x-7 = 0

10*x-7 = 0

10*x-7 = 0 // + 7

10*x = 7 // : 10

x = 7/10

x in (-oo:-7/5) U (-7/5:7/10) U (7/10:+oo)

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

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

(8*x+5)/(10*x-7)+(-1*(4*x+3))/(5*x+7) = 0

((8*x+5)*(5*x+7))/((10*x-7)*(5*x+7))+(-1*(4*x+3)*(10*x-7))/((10*x-7)*(5*x+7)) = 0

(8*x+5)*(5*x+7)-1*(4*x+3)*(10*x-7) = 0

79*x+56 = 0

(79*x+56)/((10*x-7)*(5*x+7)) = 0

(79*x+56)/((10*x-7)*(5*x+7)) = 0 // * (10*x-7)*(5*x+7)

79*x+56 = 0

79*x+56 = 0 // - 56

79*x = -56 // : 79

x = -56/79

x = -56/79

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