(x^2+8+16)/(x+6)*(7x+5)/(x^2+x-12)

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Solution for (x^2+8+16)/(x+6)*(7x+5)/(x^2+x-12) equation:


D( x )

x^2+x-12 = 0

x+6 = 0

x^2+x-12 = 0

x^2+x-12 = 0

x^2+x-12 = 0

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

DELTA = 49

DELTA > 0

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

x = 3 or x = -4

x+6 = 0

x+6 = 0

x+6 = 0 // - 6

x = -6

x in (-oo:-6) U (-6:-4) U (-4:3) U (3:+oo)

(((x^2+8+16)/(x+6))*(7*x+5))/(x^2+x-12) = 0

((x^2+24)*(7*x+5))/((x+6)*(x^2+x-12)) = 0

x^2+x-12 = 0

x^2+x-12 = 0

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

DELTA = 49

DELTA > 0

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

x = 3 or x = -4

(x+4)*(x-3) = 0

((x^2+24)*(7*x+5))/((x+6)*(x+4)*(x-3)) = 0

( 7*x+5 )

7*x+5 = 0 // - 5

7*x = -5 // : 7

x = -5/7

( x^2+24 )

1*x^2 = -24 // : 1

x^2 = -24

x = -5/7

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