-w/4(w+3)=-12

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Solution for -w/4(w+3)=-12 equation: 


w in (-oo:+oo)

(-w/4)*(w+3) = -12 // + 12

(-w/4)*(w+3)+12 = 0

12-1/4*w*(w+3) = 0

12-1/4*w*(w+3) = 0

12-1/4*w^2-3/4*w = 0

12-1/4*w^2-3/4*w = 0

12-1/4*w^2-3/4*w = 0

DELTA = (-3/4)^2-(-1/4*4*12)

DELTA = 201/16

DELTA > 0

w = ((201/16)^(1/2)+3/4)/(-1/4*2) or w = (3/4-(201/16)^(1/2))/(-1/4*2)

w = -2*((201/16)^(1/2)+3/4) or w = -2*(3/4-(201/16)^(1/2))

(w+2*((201/16)^(1/2)+3/4))*(w+2*(3/4-(201/16)^(1/2))) = 0

(w+2*((201/16)^(1/2)+3/4))*(w+2*(3/4-(201/16)^(1/2))) = 0

( w+2*((201/16)^(1/2)+3/4) )

w+2*((201/16)^(1/2)+3/4) = 0 // - 2*((201/16)^(1/2)+3/4)

w = -(2*((201/16)^(1/2)+3/4))

w = -2*((201/16)^(1/2)+3/4)

( w+2*(3/4-(201/16)^(1/2)) )

w+2*(3/4-(201/16)^(1/2)) = 0 // - 2*(3/4-(201/16)^(1/2))

w = -(2*(3/4-(201/16)^(1/2)))

w = -2*(3/4-(201/16)^(1/2))

w in { -2*((201/16)^(1/2)+3/4), -2*(3/4-(201/16)^(1/2)) }

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