((5-x)/4)+(3/4)=(-7/x)

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Solution for ((5-x)/4)+(3/4)=(-7/x) equation:


D( x )

x = 0

x = 0

x = 0

x in (-oo:0) U (0:+oo)

(5-x)/4+3/4 = -7/x // + -7/x

(5-x)/4-(-7/x)+3/4 = 0

(5-x)/4+7*x^-1+3/4 = 0

(5-x)/4+7/x+3/4 = 0

(x*(5-x))/(4*x)+(4*7)/(4*x)+(3*x)/(4*x) = 0

x*(5-x)+3*x+4*7 = 0

5*x-x^2+3*x+28 = 0

8*x-x^2+28 = 0

8*x-x^2+28 = 0

8*x-x^2+28 = 0

DELTA = 8^2-(-1*4*28)

DELTA = 176

DELTA > 0

x = (176^(1/2)-8)/(-1*2) or x = (-176^(1/2)-8)/(-1*2)

x = (4*11^(1/2)-8)/(-2) or x = (-4*11^(1/2)-8)/(-2)

(x-((4*11^(1/2)-8)/(-2)))*(x-((-4*11^(1/2)-8)/(-2))) = 0

((x-((4*11^(1/2)-8)/(-2)))*(x-((-4*11^(1/2)-8)/(-2))))/(4*x) = 0

((x-((4*11^(1/2)-8)/(-2)))*(x-((-4*11^(1/2)-8)/(-2))))/(4*x) = 0 // * 4*x

(x-((4*11^(1/2)-8)/(-2)))*(x-((-4*11^(1/2)-8)/(-2))) = 0

( x-((-4*11^(1/2)-8)/(-2)) )

x-((-4*11^(1/2)-8)/(-2)) = 0 // + (-4*11^(1/2)-8)/(-2)

x = (-4*11^(1/2)-8)/(-2)

( x-((4*11^(1/2)-8)/(-2)) )

x-((4*11^(1/2)-8)/(-2)) = 0 // + (4*11^(1/2)-8)/(-2)

x = (4*11^(1/2)-8)/(-2)

x in { (-4*11^(1/2)-8)/(-2), (4*11^(1/2)-8)/(-2) }

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