Solve for x ! x {}^(2) + 5x + 6 = 0 ty! ~​

Question

Solve for x !

`x {}^(2) + 5x + 6 = 0`

ty! ~​

Answer 1

`\qquad\qquad\huge\underline{{\sf Answer}}`

Let's solve for x ~

`\qquad \sf  \dashrightarrow \: {x}^(2) + 5x + 6 = 0`

`\qquad \sf  \dashrightarrow \: {x}^(2) + 3x + 2x + 6 = 0`

`\qquad \sf  \dashrightarrow \: {x}^{}( x+ 3) + 2(x + 3)= 0`

`\qquad \sf  \dashrightarrow \: {}^{}( x+ 2)(x + 3)= 0`

`\begin{cases} \sf \: x = - 2 \: \: \: \: \: \: \: \sf if \: (x + 2) = 0 \\ \\ \sf \: x = - 3 \: \: \: \: \: \: \: if \: (x + 3) = 0\end{cases}`

I hope that helps ~