To solve the given equation, we need to expand and simplify the equation:
(x^2 - 1)(x + 3)(x + 5) = 20
Expanding the left side of the equation:
= (x^2 - 1)((x + 3)(x + 5))= (x^2 - 1)(x^2 + 8x + 15)= x^4 + 8x^3 + 15x^2 - x^2 - 8x - 15= x^4 + 8x^3 + 14x^2 - 8x - 15
Now, we can set this expression equal to 20:
x^4 + 8x^3 + 14x^2 - 8x - 15 = 20
Rearranging the terms:
x^4 + 8x^3 + 14x^2 - 8x - 35 = 0
Now, there is no simple method to solve this quartic equation. We can solve it using numerical methods or approximation techniques.
To solve the given equation, we need to expand and simplify the equation:
(x^2 - 1)(x + 3)(x + 5) = 20
Expanding the left side of the equation:
= (x^2 - 1)((x + 3)(x + 5))
= (x^2 - 1)(x^2 + 8x + 15)
= x^4 + 8x^3 + 15x^2 - x^2 - 8x - 15
= x^4 + 8x^3 + 14x^2 - 8x - 15
Now, we can set this expression equal to 20:
x^4 + 8x^3 + 14x^2 - 8x - 15 = 20
Rearranging the terms:
x^4 + 8x^3 + 14x^2 - 8x - 35 = 0
Now, there is no simple method to solve this quartic equation. We can solve it using numerical methods or approximation techniques.