To solve this equation, we can start by expanding the left side:
(x+3)(x+1)(x+5)(x+7) + 16 = 0
Expanding the left side:
(x^2 + 4x + 3)(x^2 + 12x + 35) + 16 = 0
Now, multiply the two quadratic expressions:
x^4 + 16x^3 + 71x^2 + 140x + 105 + 16 = 0
Combine like terms:
x^4 + 16x^3 + 71x^2 + 140x + 121 = 0
Now the equation is in the form of a quartic equation which can be difficult to solve. One way to solve it is by factoring or using numerical methods.
To solve this equation, we can start by expanding the left side:
(x+3)(x+1)(x+5)(x+7) + 16 = 0
Expanding the left side:
(x^2 + 4x + 3)(x^2 + 12x + 35) + 16 = 0
Now, multiply the two quadratic expressions:
x^4 + 16x^3 + 71x^2 + 140x + 105 + 16 = 0
Combine like terms:
x^4 + 16x^3 + 71x^2 + 140x + 121 = 0
Now the equation is in the form of a quartic equation which can be difficult to solve. One way to solve it is by factoring or using numerical methods.