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

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


D( x )

x+5 = 0

4*x+7 = 0

x+5 = 0

x+5 = 0

x+5 = 0 // - 5

x = -5

4*x+7 = 0

4*x+7 = 0

4*x+7 = 0 // - 7

4*x = -7 // : 4

x = -7/4

x in (-oo:-5) U (-5:-7/4) U (-7/4:+oo)

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

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

7/(4*x+7)-9*(x+5)^-1 = 0

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

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

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

(7-36)*x-63+35 = 0

((7-36)*x-63+35)/((4*x+7)*(x+5)) = 0

((7-36)*x-63+35)/((4*x+7)*(x+5)) = 0 // * (4*x+7)*(x+5)

(7-36)*x-63+35 = 0

(7-36)*x-63+35 = 0 // - 35-63

(7-36)*x = -(35-63) // : 7-36

x = (-(35-63))/(7-36)

x = (63-35)/(7-36)

x = (63-35)/(7-36)

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