2x+15=385/(x+1)

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Solution for 2x+15=385/(x+1) equation:


D( x )

x+1 = 0

x+1 = 0

x+1 = 0

x+1 = 0 // - 1

x = -1

x in (-oo:-1) U (-1:+oo)

2*x+15 = 385/(x+1) // - 385/(x+1)

2*x-(385/(x+1))+15 = 0

2*x-385*(x+1)^-1+15 = 0

2*x-385/(x+1)+15 = 0

(2*x*(x+1))/(x+1)-385/(x+1)+(15*(x+1))/(x+1) = 0

2*x*(x+1)+15*(x+1)-385 = 0

2*x^2+2*x+15*x-385+15 = 0

2*x^2+17*x-370 = 0

2*x^2+17*x-370 = 0

2*x^2+17*x-370 = 0

DELTA = 17^2-(-370*2*4)

DELTA = 3249

DELTA > 0

x = (3249^(1/2)-17)/(2*2) or x = (-3249^(1/2)-17)/(2*2)

x = 10 or x = -37/2

(x+37/2)*(x-10) = 0

((x+37/2)*(x-10))/(x+1) = 0

((x+37/2)*(x-10))/(x+1) = 0 // * x+1

(x+37/2)*(x-10) = 0

( x+37/2 )

x+37/2 = 0 // - 37/2

x = -37/2

( x-10 )

x-10 = 0 // + 10

x = 10

x in { -37/2, 10 }

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