(2a-3)/(a-3)-2=(12)/(a+2)

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Solution for (2a-3)/(a-3)-2=(12)/(a+2) equation:


D( a )

a+2 = 0

a-3 = 0

a+2 = 0

a+2 = 0

a+2 = 0 // - 2

a = -2

a-3 = 0

a-3 = 0

a-3 = 0 // + 3

a = 3

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

(2*a-3)/(a-3)-2 = 12/(a+2) // - 12/(a+2)

(2*a-3)/(a-3)-(12/(a+2))-2 = 0

(2*a-3)/(a-3)-12*(a+2)^-1-2 = 0

(2*a-3)/(a-3)-12/(a+2)-2 = 0

((2*a-3)*(a+2))/((a-3)*(a+2))+(-12*(a-3))/((a-3)*(a+2))+(-2*(a-3)*(a+2))/((a-3)*(a+2)) = 0

(2*a-3)*(a+2)-12*(a-3)-2*(a-3)*(a+2) = 0

2*a^2-2*a^2-11*a+2*a+12+30 = 0

42-9*a = 0

(42-9*a)/((a-3)*(a+2)) = 0

(42-9*a)/((a-3)*(a+2)) = 0 // * (a-3)*(a+2)

42-9*a = 0

42-9*a = 0 // - 42

-9*a = -42 // : -9

a = -42/(-9)

a = 14/3

a = 14/3

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