(3x^2-12x-15)/(x^2+2x+1)

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Solution for (3x^2-12x-15)/(x^2+2x+1) equation:


D( x )

x^2+2*x+1 = 0

x^2+2*x+1 = 0

x^2+2*x+1 = 0

x^2+2*x+1 = 0

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

DELTA = 0

x = -2/(1*2)

x = -1 or x = -1

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

(3*x^2-(12*x)-15)/(x^2+2*x+1) = 0

(3*x^2-12*x-15)/(x^2+2*x+1) = 0

3*x^2-12*x-15 = 0

3*(x^2-4*x-5) = 0

x^2-4*x-5 = 0

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

DELTA = 36

DELTA > 0

x = (36^(1/2)+4)/(1*2) or x = (4-36^(1/2))/(1*2)

x = 5 or x = -1

3*(x+1)*(x-5) = 0

x^2+2*x+1 = 0

x^2+2*x+1 = 0

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

DELTA = 0

x = -2/(1*2)

x = -1 or x = -1

(x+1)^2 = 0

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

( x+1 )

x+1 = 0 // - 1

x = -1

( x-5 )

x-5 = 0 // + 5

x = 5

x in { -1}

x = 5

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