Answer:
[tex] {x}^{2} - 16 = 0 \: is \: the \: equation[/tex]
Step-by-step explanation:
[tex]x = - 4 \\ or \: x = 4[/tex]
[tex](x + 4) = 0 \: or \: (x - 4) = 0 \\ (x + 4)(x - 4) = 0 \\ open \: the \: bracket[/tex]
[tex]x(x - 4) + 4(x - 4) = 0[/tex]
[tex] {x}^{2} - 4x + 4x - 16 = 0 \\ {x}^{2} - 16 = 0[/tex]
