Question

Solve for x !e="x {}^{2} + 5x + 6 = 0" alt="x {}^{2} + 5x + 6 = 0" align="absmiddle" class="latex-formula">

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 ~