(x-8)/(3x+27)-(x+5)/(7x+63)

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Solution for (x-8)/(3x+27)-(x+5)/(7x+63) equation:


D( x )

7*x+63 = 0

3*x+27 = 0

7*x+63 = 0

7*x+63 = 0

7*x+63 = 0 // - 63

7*x = -63 // : 7

x = -63/7

x = -9

3*x+27 = 0

3*x+27 = 0

3*x+27 = 0 // - 27

3*x = -27 // : 3

x = -27/3

x = -9

x in (-oo:-9) U (-9:+oo)

(x-8)/(3*x+27)-((x+5)/(7*x+63)) = 0

(x-8)/(3*x+27)+(-1*(x+5))/(7*x+63) = 0

((x-8)*(7*x+63))/((3*x+27)*(7*x+63))+(-1*(x+5)*(3*x+27))/((3*x+27)*(7*x+63)) = 0

(x-8)*(7*x+63)-1*(x+5)*(3*x+27) = 0

4*x^2-35*x-639 = 0

4*x^2-35*x-639 = 0

4*x^2-35*x-639 = 0

DELTA = (-35)^2-(-639*4*4)

DELTA = 11449

DELTA > 0

x = (11449^(1/2)+35)/(2*4) or x = (35-11449^(1/2))/(2*4)

x = 71/4 or x = -9

(x+9)*(x-71/4) = 0

((x+9)*(x-71/4))/((3*x+27)*(7*x+63)) = 0

((x+9)*(x-71/4))/((3*x+27)*(7*x+63)) = 0 // * (3*x+27)*(7*x+63)

(x+9)*(x-71/4) = 0

( x+9 )

x+9 = 0 // - 9

x = -9

( x-71/4 )

x-71/4 = 0 // + 71/4

x = 71/4

x in { -9}

x = 71/4

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