(a^2-a-6)/(a^2-81)*(4a+36)/(a^2-7a-18)

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Solution for (a^2-a-6)/(a^2-81)*(4a+36)/(a^2-7a-18) equation:


D( a )

a^2-81 = 0

a^2-(7*a)-18 = 0

a^2-81 = 0

a^2-81 = 0

1*a^2 = 81 // : 1

a^2 = 81

a^2 = 81 // ^ 1/2

abs(a) = 9

a = 9 or a = -9

a^2-(7*a)-18 = 0

a^2-(7*a)-18 = 0

a^2-7*a-18 = 0

a^2-7*a-18 = 0

DELTA = (-7)^2-(-18*1*4)

DELTA = 121

DELTA > 0

a = (121^(1/2)+7)/(1*2) or a = (7-121^(1/2))/(1*2)

a = 9 or a = -2

a in (-oo:-9) U (-9:-2) U (-2:9) U (9:+oo)

(((a^2-a-6)/(a^2-81))*(4*a+36))/(a^2-(7*a)-18) = 0

(((a^2-a-6)/(a^2-81))*(4*a+36))/(a^2-7*a-18) = 0

((a^2-a-6)*(4*a+36))/((a^2-81)*(a^2-7*a-18)) = 0

a^2-a-6 = 0

a^2-a-6 = 0

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

DELTA = 25

DELTA > 0

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

a = 3 or a = -2

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

a^2-7*a-18 = 0

a^2-7*a-18 = 0

DELTA = (-7)^2-(-18*1*4)

DELTA = 121

DELTA > 0

a = (121^(1/2)+7)/(1*2) or a = (7-121^(1/2))/(1*2)

a = 9 or a = -2

(a+2)*(a-9) = 0

((a+2)*(a-3)*(4*a+36))/((a^2-81)*(a+2)*(a-9)) = 0

( 4*a+36 )

4*a+36 = 0 // - 36

4*a = -36 // : 4

a = -36/4

a = -9

( a+2 )

a+2 = 0 // - 2

a = -2

( a-3 )

a-3 = 0 // + 3

a = 3

a in { -9}

a in { -2}

a = 3

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