x-3=252/(x+7)

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Solution for x-3=252/(x+7) equation: 


D( x )

x+7 = 0

x+7 = 0

x+7 = 0

x+7 = 0 // - 7

x = -7

x in (-oo:-7) U (-7:+oo)

x-3 = 252/(x+7) // - 252/(x+7)

x-(252/(x+7))-3 = 0

x-252*(x+7)^-1-3 = 0

x-252/(x+7)-3 = 0

(x*(x+7))/(x+7)-252/(x+7)+(-3*(x+7))/(x+7) = 0

x*(x+7)-3*(x+7)-252 = 0

x^2+7*x-3*x-252-21 = 0

x^2+4*x-273 = 0

x^2+4*x-273 = 0

x^2+4*x-273 = 0

DELTA = 4^2-(-273*1*4)

DELTA = 1108

DELTA > 0

x = (1108^(1/2)-4)/(1*2) or x = (-1108^(1/2)-4)/(1*2)

x = (2*277^(1/2)-4)/2 or x = (-2*277^(1/2)-4)/2

(x-((-2*277^(1/2)-4)/2))*(x-((2*277^(1/2)-4)/2)) = 0

((x-((-2*277^(1/2)-4)/2))*(x-((2*277^(1/2)-4)/2)))/(x+7) = 0

((x-((-2*277^(1/2)-4)/2))*(x-((2*277^(1/2)-4)/2)))/(x+7) = 0 // * x+7

(x-((-2*277^(1/2)-4)/2))*(x-((2*277^(1/2)-4)/2)) = 0

( x-((-2*277^(1/2)-4)/2) )

x-((-2*277^(1/2)-4)/2) = 0 // + (-2*277^(1/2)-4)/2

x = (-2*277^(1/2)-4)/2

( x-((2*277^(1/2)-4)/2) )

x-((2*277^(1/2)-4)/2) = 0 // + (2*277^(1/2)-4)/2

x = (2*277^(1/2)-4)/2

x in { (-2*277^(1/2)-4)/2, (2*277^(1/2)-4)/2 }

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