(c^6+7c^5+10c^4)/(c^5+2c^4)=0

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Solution for (c^6+7c^5+10c^4)/(c^5+2c^4)=0 equation: 


D( c )

c^5+2*c^4 = 0

c^5+2*c^4 = 0

c^5+2*c^4 = 0

c^5+2*c^4 = 0

c^4*(c+2) = 0

c+2 = 0 // - 2

c = -2

c^4 = 0

1*c^4 = 0 // : 1

c^4 = 0

c = 0

c in (-oo:-2) U (-2:0) U (0:+oo)

(c^6+7*c^5+10*c^4)/(c^5+2*c^4) = 0

c^6+7*c^5+10*c^4 = 0

c^4*(c^2+7*c+10) = 0

c^2+7*c+10 = 0

DELTA = 7^2-(1*4*10)

DELTA = 9

DELTA > 0

c = (9^(1/2)-7)/(1*2) or c = (-9^(1/2)-7)/(1*2)

c = -2 or c = -5

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

c^5+2*c^4 = 0

c^4*(c+2) = 0

c+2 = 0 // - 2

c = -2

c^4*(c+2) = 0

(c^4*(c+5)*(c+2))/(c^4*(c+2)) = 0

( c+2 )

c+2 = 0 // - 2

c = -2

( c+5 )

c+5 = 0 // - 5

c = -5

( c^4 )

1*c^4 = 0 // : 1

c^4 = 0

c = 0

c in { -2} 

c in { 0} 

c = -5

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