8/(m+10)=4/(2m-7)

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Solution for 8/(m+10)=4/(2m-7) equation: 


D( m )

2*m-7 = 0

m+10 = 0

2*m-7 = 0

2*m-7 = 0

2*m-7 = 0 // + 7

2*m = 7 // : 2

m = 7/2

m+10 = 0

m+10 = 0

m+10 = 0 // - 10

m = -10

m in (-oo:-10) U (-10:7/2) U (7/2:+oo)

8/(m+10) = 4/(2*m-7) // - 4/(2*m-7)

8/(m+10)-(4/(2*m-7)) = 0

8/(m+10)-4*(2*m-7)^-1 = 0

8/(m+10)-4/(2*m-7) = 0

(8*(2*m-7))/((m+10)*(2*m-7))+(-4*(m+10))/((m+10)*(2*m-7)) = 0

8*(2*m-7)-4*(m+10) = 0

12*m-96 = 0

(12*m-96)/((m+10)*(2*m-7)) = 0

(12*m-96)/((m+10)*(2*m-7)) = 0 // * (m+10)*(2*m-7)

12*m-96 = 0

12*m-96 = 0 // + 96

12*m = 96 // : 12

m = 96/12

m = 8

m = 8

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