x-7=-(48/(x+7))

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Solution for x-7=-(48/(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-7 = -(48/(x+7)) // + 48/(x+7)

48/(x+7)+x-7 = 0

48/(x+7)+(x*(x+7))/(x+7)+(-7*(x+7))/(x+7) = 0

x*(x+7)-7*(x+7)+48 = 0

x^2+7*x-7*x-49+48 = 0

x^2-1 = 0

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

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

x^2-1 = 0

1*x^2 = 1 // : 1

x^2 = 1

x^2 = 1 // ^ 1/2

abs(x) = 1

x = 1 or x = -1

x in { 1, -1 }

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