(2x^2+10x+8)/(2x+2)

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Solution for (2x^2+10x+8)/(2x+2) equation: 


D( x )

2*x+2 = 0

2*x+2 = 0

2*x+2 = 0

2*x+2 = 0 // - 2

2*x = -2 // : 2

x = -2/2

x = -1

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

(2*x^2+10*x+8)/(2*x+2) = 0

2*x^2+10*x+8 = 0

2*(x^2+5*x+4) = 0

x^2+5*x+4 = 0

DELTA = 5^2-(1*4*4)

DELTA = 9

DELTA > 0

x = (9^(1/2)-5)/(1*2) or x = (-9^(1/2)-5)/(1*2)

x = -1 or x = -4

2*(x+4)*(x+1) = 0

(2*(x+4)*(x+1))/(2*x+2) = 0

( x+1 )

x+1 = 0 // - 1

x = -1

( x+4 )

x+4 = 0 // - 4

x = -4

x in { -1} 

x = -4

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