There many ways to solve a quadratic equation.
1. Try to find factors of Left hand side and equate each to zero, to get the solution. Splitting of terms is commonly used for this method.
Ex.
[tex] x^{2} +4x+4=0[/tex]4x
must be splitted in such a way the product of the splitted terms is equal to the product of the coefficient of [tex] x^{2} [/tex] and constant term.
Therefore, [tex] x^{2} +(2x+2x)+4=0[/tex]
[tex]x(x+2)+2(x+2)=0[/tex]
[tex](x+2)(x+2)=0[/tex]
On equating the factors to zero we get,
[tex]x=-2,-2[/tex]
2. You can use quadatric formula.
For equation of form,
ax^2+bx+c=0x=
[tex]x= \frac{-b \frac{+}{-} \sqrt{b^{2}-4ac } }{2a} [/tex]
