Answer:
x=-8 or x=4
Step-by-step explanation:
We want to solve the quadratic equation:
[tex] {x}^{2} + 4x - 32 = 0[/tex]
We split the middle term to get:
[tex] {x}^{2} + 8x - 4x - 32[/tex]
We now factor by grouping to get:
[tex]x(x + 8) - 4(x + 8) = 0[/tex]
[tex](x + 8)(x - 4) = 0[/tex]
The roots are:
[tex]x = - 8 \: or \: x = 4[/tex]
