4/7=(-3w+2)/-2w

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Solution for 4/7=(-3w+2)/-2w equation:


w in (-oo:+oo)

4/7 = w*((2-3*w)/(-2)) // - w*((2-3*w)/(-2))

4/7-(w*((2-3*w)/(-2))) = 0

(-1*w*(2-3*w))/(-2)+4/7 = 0

(-1*7*w*(2-3*w))/(-2*7)+(-2*4)/(-2*7) = 0

-1*7*w*(2-3*w)-2*4 = 0

21*w^2-14*w-8 = 0

21*w^2-14*w-8 = 0

21*w^2-14*w-8 = 0

DELTA = (-14)^2-(-8*4*21)

DELTA = 868

DELTA > 0

w = (868^(1/2)+14)/(2*21) or w = (14-868^(1/2))/(2*21)

w = (2*217^(1/2)+14)/42 or w = (14-2*217^(1/2))/42

(w-((14-2*217^(1/2))/42))*(w-((2*217^(1/2)+14)/42)) = 0

((w-((14-2*217^(1/2))/42))*(w-((2*217^(1/2)+14)/42)))/(-2*7) = 0

((w-((14-2*217^(1/2))/42))*(w-((2*217^(1/2)+14)/42)))/(-2*7) = 0 // * -2*7

(w-((14-2*217^(1/2))/42))*(w-((2*217^(1/2)+14)/42)) = 0

( w-((14-2*217^(1/2))/42) )

w-((14-2*217^(1/2))/42) = 0 // + (14-2*217^(1/2))/42

w = (14-2*217^(1/2))/42

( w-((2*217^(1/2)+14)/42) )

w-((2*217^(1/2)+14)/42) = 0 // + (2*217^(1/2)+14)/42

w = (2*217^(1/2)+14)/42

w in { (14-2*217^(1/2))/42, (2*217^(1/2)+14)/42 }

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