((7)/(2w+6))+2=-((3)/(w+3))

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Solution for ((7)/(2w+6))+2=-((3)/(w+3)) equation:


D( w )

w+3 = 0

2*w+6 = 0

w+3 = 0

w+3 = 0

w+3 = 0 // - 3

w = -3

2*w+6 = 0

2*w+6 = 0

2*w+6 = 0 // - 6

2*w = -6 // : 2

w = -6/2

w = -3

w in (-oo:-3) U (-3:+oo)

7/(2*w+6)+2 = -(3/(w+3)) // + 3/(w+3)

7/(2*w+6)+3/(w+3)+2 = 0

(7*(w+3))/((2*w+6)*(w+3))+(3*(2*w+6))/((2*w+6)*(w+3))+(2*(2*w+6)*(w+3))/((2*w+6)*(w+3)) = 0

7*(w+3)+3*(2*w+6)+2*(2*w+6)*(w+3) = 0

4*w^2+13*w+24*w+36+39 = 0

4*w^2+37*w+75 = 0

4*w^2+37*w+75 = 0

4*w^2+37*w+75 = 0

DELTA = 37^2-(4*4*75)

DELTA = 169

DELTA > 0

w = (169^(1/2)-37)/(2*4) or w = (-169^(1/2)-37)/(2*4)

w = -3 or w = -25/4

(w+25/4)*(w+3) = 0

((w+25/4)*(w+3))/((2*w+6)*(w+3)) = 0

((w+25/4)*(w+3))/((2*w+6)*(w+3)) = 0 // * (2*w+6)*(w+3)

(w+25/4)*(w+3) = 0

( w+25/4 )

w+25/4 = 0 // - 25/4

w = -25/4

( w+3 )

w+3 = 0 // - 3

w = -3

w in { -3}

w = -25/4

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