(8a^2-22a-21)/(4a+3)

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Solution for (8a^2-22a-21)/(4a+3) equation: 


D( a )

4*a+3 = 0

4*a+3 = 0

4*a+3 = 0

4*a+3 = 0 // - 3

4*a = -3 // : 4

a = -3/4

a in (-oo:-3/4) U (-3/4:+oo)

(8*a^2-(22*a)-21)/(4*a+3) = 0

(8*a^2-22*a-21)/(4*a+3) = 0

8*a^2-22*a-21 = 0

8*a^2-22*a-21 = 0

DELTA = (-22)^2-(-21*4*8)

DELTA = 1156

DELTA > 0

a = (1156^(1/2)+22)/(2*8) or a = (22-1156^(1/2))/(2*8)

a = 7/2 or a = -3/4

(a+3/4)*(a-7/2) = 0

((a+3/4)*(a-7/2))/(4*a+3) = 0

( a+3/4 )

a+3/4 = 0 // - 3/4

a = -3/4

( a-7/2 )

a-7/2 = 0 // + 7/2

a = 7/2

a in { -3/4} 

a = 7/2

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