To solve this equation, we must first expand the left side of the equation:
(х+2)(3х²+7х+1) = 3х³ + 7х² + х + 6х² + 14х + 2
Now, combine like terms:
3х³ + 7х² + х + 6х² + 14х + 2 = 3х³ + 13х² + 15х + 2
Now, set the expanded equation equal to the right side of the equation:
3х³ + 13х² + 15х + 2 = х² - 4
Now, combine like terms and set the equation equal to 0:
3х³ + 13х² + 15х + 2 - х² + 4 = 03х³ + 12х² + 15х + 6 = 0
Unfortunately, this equation cannot be simplified further. The solution to this equation will involve using the cubic formula or another method to find the roots of the equation.
To solve this equation, we must first expand the left side of the equation:
(х+2)(3х²+7х+1) = 3х³ + 7х² + х + 6х² + 14х + 2
Now, combine like terms:
3х³ + 7х² + х + 6х² + 14х + 2 = 3х³ + 13х² + 15х + 2
Now, set the expanded equation equal to the right side of the equation:
3х³ + 13х² + 15х + 2 = х² - 4
Now, combine like terms and set the equation equal to 0:
3х³ + 13х² + 15х + 2 - х² + 4 = 0
3х³ + 12х² + 15х + 6 = 0
Unfortunately, this equation cannot be simplified further. The solution to this equation will involve using the cubic formula or another method to find the roots of the equation.