(3x^2-12x-63)/(x^2+6x+9)

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Solution for (3x^2-12x-63)/(x^2+6x+9) equation:


D( x )

x^2+6*x+9 = 0

x^2+6*x+9 = 0

x^2+6*x+9 = 0

x^2+6*x+9 = 0

DELTA = 6^2-(1*4*9)

DELTA = 0

x = -6/(1*2)

x = -3 or x = -3

x in (-oo:-3) U (-3:+oo)

(3*x^2-(12*x)-63)/(x^2+6*x+9) = 0

(3*x^2-12*x-63)/(x^2+6*x+9) = 0

3*x^2-12*x-63 = 0

3*(x^2-4*x-21) = 0

x^2-4*x-21 = 0

DELTA = (-4)^2-(-21*1*4)

DELTA = 100

DELTA > 0

x = (100^(1/2)+4)/(1*2) or x = (4-100^(1/2))/(1*2)

x = 7 or x = -3

3*(x+3)*(x-7) = 0

x^2+6*x+9 = 0

x^2+6*x+9 = 0

DELTA = 6^2-(1*4*9)

DELTA = 0

x = -6/(1*2)

x = -3 or x = -3

(x+3)^2 = 0

(3*(x+3)*(x-7))/((x+3)^2) = 0

( x+3 )

x+3 = 0 // - 3

x = -3

( x-7 )

x-7 = 0 // + 7

x = 7

x in { -3}

x = 7

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