5/(2x+6)=9/(4x+8)

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Solution for 5/(2x+6)=9/(4x+8) equation:


D( x )

2*x+6 = 0

4*x+8 = 0

2*x+6 = 0

2*x+6 = 0

2*x+6 = 0 // - 6

2*x = -6 // : 2

x = -6/2

x = -3

4*x+8 = 0

4*x+8 = 0

4*x+8 = 0 // - 8

4*x = -8 // : 4

x = -8/4

x = -2

x in (-oo:-3) U (-3:-2) U (-2:+oo)

5/(2*x+6) = 9/(4*x+8) // - 9/(4*x+8)

5/(2*x+6)-(9/(4*x+8)) = 0

5/(2*x+6)-9*(4*x+8)^-1 = 0

5/(2*x+6)-9/(4*x+8) = 0

(5*(4*x+8))/((2*x+6)*(4*x+8))+(-9*(2*x+6))/((2*x+6)*(4*x+8)) = 0

5*(4*x+8)-9*(2*x+6) = 0

2*x-14 = 0

(2*x-14)/((2*x+6)*(4*x+8)) = 0

(2*x-14)/((2*x+6)*(4*x+8)) = 0 // * (2*x+6)*(4*x+8)

2*x-14 = 0

2*x-14 = 0 // + 14

2*x = 14 // : 2

x = 14/2

x = 7

x = 7

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