Answer:
[tex]x = 2 \: \: \: \: \: or \: \: \: \: \: x = - 11[/tex]
Step-by-step explanation:
[tex] {x}^{2} + 9x - 22 = 0 \\ {x}^{2} + 11x - 2x - 22 = 0 \\ x(x + 11) - 2(x + 11) = 0 \\ (x - 2)(x + 11) = 0 \\ x - 2 = 0 \: \: \: \: \: or \: \: \: \: \: x + 11 = 0 \\ x = 2 \: \: \: \: \: or \: \: \: \: \: x = - 11[/tex]
