(4t+4)/(t-3)*(t^2-t-6)

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Solution for (4t+4)/(t-3)*(t^2-t-6) equation: 


D( t )

t-3 = 0

t-3 = 0

t-3 = 0

t-3 = 0 // + 3

t = 3

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

((4*t+4)/(t-3))*(t^2-t-6) = 0

((4*t+4)*(t^2-t-6))/(t-3) = 0

t^2-t-6 = 0

t^2-t-6 = 0

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

DELTA = 25

DELTA > 0

t = (25^(1/2)+1)/(1*2) or t = (1-25^(1/2))/(1*2)

t = 3 or t = -2

(t+2)*(t-3) = 0

((4*t+4)*(t+2)*(t-3))/(t-3) = 0

( 4*t+4 )

4*t+4 = 0 // - 4

4*t = -4 // : 4

t = -4/4

t = -1

( t+2 )

t+2 = 0 // - 2

t = -2

( t-3 )

t-3 = 0 // + 3

t = 3

t in { 3} 

t in { -1, -2 }

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