Question

${x }^{2} + 5x + 6$
​

Answer 1

X² + 5X + 6 = 0

X² + 2X + 3X + 6 = 0

[taking X and 3 common ]

X(X+2) +3(X+2)

(X +2) (X + 3)

if X + 2 = 0

X = -2

if X + 3 = 0

X = -3

Answer 2

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: {x}^{2} + 5x + 6 = 0 \\ = > \: \: \: \: \: {x}^{2} + 2x + 3x + 6 = 0 \\ = > x(x + 2) + 3(x + 2) = 0 \\ = > \: \: \: \: \: \: \: \: \: \: ( x + 3)(x + 2) = 0 \\ \\ either \: x + 3 = 0 \: \: \: \: \: \: \: \: || \: \: or \: x + 2 = 0 \\ \: \: \: \: \: \: \: \: \: \: \: \: = > x = - 3 \: \: \: \: \: || \: \: \: \: \: \: = > x = - 2 \\ \\ x = - 3 \: and \: - 2$