((6x^2)-72x+210)/((x^2)-3x-10)

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Solution for ((6x^2)-72x+210)/((x^2)-3x-10) equation: 


D( x )

x^2-(3*x)-10 = 0

x^2-(3*x)-10 = 0

x^2-(3*x)-10 = 0

x^2-3*x-10 = 0

x^2-3*x-10 = 0

DELTA = (-3)^2-(-10*1*4)

DELTA = 49

DELTA > 0

x = (49^(1/2)+3)/(1*2) or x = (3-49^(1/2))/(1*2)

x = 5 or x = -2

x in (-oo:-2) U (-2:5) U (5:+oo)

(6*x^2-(72*x)+210)/(x^2-(3*x)-10) = 0

(6*x^2-72*x+210)/(x^2-3*x-10) = 0

6*x^2-72*x+210 = 0

6*(x^2-12*x+35) = 0

x^2-12*x+35 = 0

DELTA = (-12)^2-(1*4*35)

DELTA = 4

DELTA > 0

x = (4^(1/2)+12)/(1*2) or x = (12-4^(1/2))/(1*2)

x = 7 or x = 5

6*(x-5)*(x-7) = 0

x^2-3*x-10 = 0

x^2-3*x-10 = 0

DELTA = (-3)^2-(-10*1*4)

DELTA = 49

DELTA > 0

x = (49^(1/2)+3)/(1*2) or x = (3-49^(1/2))/(1*2)

x = 5 or x = -2

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

(6*(x-5)*(x-7))/((x+2)*(x-5)) = 0

( x-5 )

x-5 = 0 // + 5

x = 5

( x-7 )

x-7 = 0 // + 7

x = 7

x in { 5} 

x = 7

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