-12=(5+x)^2/-3

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Solution for -12=(5+x)^2/-3 equation:


x in (-oo:+oo)

-12 = ((x+5)^2)/(-3) // - ((x+5)^2)/(-3)

-(((x+5)^2)/(-3))-12 = 0

(-1*(x+5)^2)/(-3)-12 = 0

(-1*(x+5)^2)/(-3)+(-12*(-3))/(-3) = 0

-1*(x+5)^2-12*(-3) = 0

11-x^2-10*x = 0

11-x^2-10*x = 0

11-x^2-10*x = 0

DELTA = (-10)^2-(-1*4*11)

DELTA = 144

DELTA > 0

x = (144^(1/2)+10)/(-1*2) or x = (10-144^(1/2))/(-1*2)

x = -11 or x = 1

(x+11)*(x-1) = 0

((x+11)*(x-1))/(-3) = 0

((x+11)*(x-1))/(-3) = 0 // * -3

(x+11)*(x-1) = 0

( x+11 )

x+11 = 0 // - 11

x = -11

( x-1 )

x-1 = 0 // + 1

x = 1

x in { -11, 1 }

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