2X/(X-8)=3/(X+7)

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Solution for 2X/(X-8)=3/(X+7) equation:


D( X )

X-8 = 0

X+7 = 0

X-8 = 0

X-8 = 0

X-8 = 0 // + 8

X = 8

X+7 = 0

X+7 = 0

X+7 = 0 // - 7

X = -7

X in (-oo:-7) U (-7:8) U (8:+oo)

(2*X)/(X-8) = 3/(X+7) // - 3/(X+7)

(2*X)/(X-8)-(3/(X+7)) = 0

(2*X)/(X-8)-3*(X+7)^-1 = 0

(2*X)/(X-8)-3/(X+7) = 0

(2*X*(X+7))/((X-8)*(X+7))+(-3*(X-8))/((X-8)*(X+7)) = 0

2*X*(X+7)-3*(X-8) = 0

2*X^2+11*X+24 = 0

2*X^2+11*X+24 = 0

2*X^2+11*X+24 = 0

DELTA = 11^2-(2*4*24)

DELTA = -71

DELTA < 0

1 = 0

1/((X-8)*(X+7)) = 0

1/((X-8)*(X+7)) = 0 // * (X-8)*(X+7)

1 = 0

X belongs to the empty set

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