x/7=4/(x+20)

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Solution for x/7=4/(x+20) equation: 


D( x )

x+20 = 0

x+20 = 0

x+20 = 0

x+20 = 0 // - 20

x = -20

x in (-oo:-20) U (-20:+oo)

x/7 = 4/(x+20) // - 4/(x+20)

x/7-(4/(x+20)) = 0

x/7-4*(x+20)^-1 = 0

x/7-4/(x+20) = 0

(-4*7)/(7*(x+20))+(x*(x+20))/(7*(x+20)) = 0

x*(x+20)-4*7 = 0

x^2+20*x-28 = 0

x^2+20*x-28 = 0

x^2+20*x-28 = 0

DELTA = 20^2-(-28*1*4)

DELTA = 512

DELTA > 0

x = (512^(1/2)-20)/(1*2) or x = (-512^(1/2)-20)/(1*2)

x = (16*2^(1/2)-20)/2 or x = (-16*2^(1/2)-20)/2

(x-((-16*2^(1/2)-20)/2))*(x-((16*2^(1/2)-20)/2)) = 0

((x-((-16*2^(1/2)-20)/2))*(x-((16*2^(1/2)-20)/2)))/(7*(x+20)) = 0

((x-((-16*2^(1/2)-20)/2))*(x-((16*2^(1/2)-20)/2)))/(7*(x+20)) = 0 // * 7*(x+20)

(x-((-16*2^(1/2)-20)/2))*(x-((16*2^(1/2)-20)/2)) = 0

( x-((-16*2^(1/2)-20)/2) )

x-((-16*2^(1/2)-20)/2) = 0 // + (-16*2^(1/2)-20)/2

x = (-16*2^(1/2)-20)/2

( x-((16*2^(1/2)-20)/2) )

x-((16*2^(1/2)-20)/2) = 0 // + (16*2^(1/2)-20)/2

x = (16*2^(1/2)-20)/2

x in { (-16*2^(1/2)-20)/2, (16*2^(1/2)-20)/2 }

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