(X/7)=(5/(X+4))

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Solution for (X/7)=(5/(X+4)) equation: 


D( X )

X+4 = 0

X+4 = 0

X+4 = 0

X+4 = 0 // - 4

X = -4

X in (-oo:-4) U (-4:+oo)

X/7 = 5/(X+4) // - 5/(X+4)

X/7-(5/(X+4)) = 0

X/7-5*(X+4)^-1 = 0

X/7-5/(X+4) = 0

(-5*7)/(7*(X+4))+(X*(X+4))/(7*(X+4)) = 0

X*(X+4)-5*7 = 0

X^2+4*X-35 = 0

X^2+4*X-35 = 0

X^2+4*X-35 = 0

DELTA = 4^2-(-35*1*4)

DELTA = 156

DELTA > 0

X = (156^(1/2)-4)/(1*2) or X = (-156^(1/2)-4)/(1*2)

X = (2*39^(1/2)-4)/2 or X = (-2*39^(1/2)-4)/2

(X-((-2*39^(1/2)-4)/2))*(X-((2*39^(1/2)-4)/2)) = 0

((X-((-2*39^(1/2)-4)/2))*(X-((2*39^(1/2)-4)/2)))/(7*(X+4)) = 0

((X-((-2*39^(1/2)-4)/2))*(X-((2*39^(1/2)-4)/2)))/(7*(X+4)) = 0 // * 7*(X+4)

(X-((-2*39^(1/2)-4)/2))*(X-((2*39^(1/2)-4)/2)) = 0

( X-((-2*39^(1/2)-4)/2) )

X-((-2*39^(1/2)-4)/2) = 0 // + (-2*39^(1/2)-4)/2

X = (-2*39^(1/2)-4)/2

( X-((2*39^(1/2)-4)/2) )

X-((2*39^(1/2)-4)/2) = 0 // + (2*39^(1/2)-4)/2

X = (2*39^(1/2)-4)/2

X in { (-2*39^(1/2)-4)/2, (2*39^(1/2)-4)/2 }

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