Answer:
[tex]x = 4 \\ x = - 8[/tex]
Step-by-step explanation:
[tex]x^{2}+4x-40=-8 \\ {x}^{2} + 4x = 40 - 8 \\ {x}^{2} + 4x = 32 \\ {x}^{2} + 4x - 32 = 0 \\ {x}^{2} + 8x - 4x - 32 = 0 \\ x(x + 8) - 4(x + 8) = 0 \\( x - 4)(x + 8) = 0 \\ x - 4 \: \: \: \: \: \: or \: \: \: \: \: x + 8 = 0 \\ x = 4 \: \: \: \: or \: \: \: \: x = - 8[/tex]
