Now we have a quartic equation that we need to solve. However, quartic equations are typically more difficult to solve than quadratic equations. You may need to use numerical methods or a graphing calculator to find the roots of this quartic equation.
To solve this quadratic equation, first expand the terms using the FOIL method:
(х^2 + 4х)^2 + 7х^2 + 28х + 12 = 0
(х^2 + 4х)(х^2 + 4х) + 7х^2 + 28х + 12 = 0
(х^4 + 4х^3 + 4х^3 + 16х^2) + 7х^2 + 28x + 12 = 0
х^4 + 8х^3 + 23х^2 + 28х + 12 = 0
Now we have a quartic equation that we need to solve. However, quartic equations are typically more difficult to solve than quadratic equations. You may need to use numerical methods or a graphing calculator to find the roots of this quartic equation.