(x+5)^2/-2=-8

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Solution for (x+5)^2/-2=-8 equation: 


x in (-oo:+oo)

((x+5)^2)/(-2) = -8 // + 8

((x+5)^2)/(-2)+8 = 0

((x+5)^2)/(-2)+(-2*8)/(-2) = 0

(x+5)^2-2*8 = 0

x^2+10*x+9 = 0

x^2+10*x+9 = 0

x^2+10*x+9 = 0

DELTA = 10^2-(1*4*9)

DELTA = 64

DELTA > 0

x = (64^(1/2)-10)/(1*2) or x = (-64^(1/2)-10)/(1*2)

x = -1 or x = -9

(x+9)*(x+1) = 0

((x+9)*(x+1))/(-2) = 0

((x+9)*(x+1))/(-2) = 0 // * -2

(x+9)*(x+1) = 0

( x+1 )

x+1 = 0 // - 1

x = -1

( x+9 )

x+9 = 0 // - 9

x = -9

x in { -1, -9 }

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