Answer:
[tex]x = 8 \\ x = - 9[/tex]
Step-by-step explanation:
[tex]2 {x}^{2} + 2x - 144 = 0 \\ 2 {x}^{2} + 18x - 16x - 144 = 0 \\ 2x(x + 9) - 16(x + 9) = 0 \\ (2x - 16)(x + 9) = 0 \\ \\ 2x - 16 = 0 \\ 2x = 0 + 16 \\ 2x = 16 \\ \frac{2x}{2} = \frac{16}{2} \\ x = 8 \\ \\ x + 9 = 0 \\ x = 0 - 9 \\ x = - 9[/tex]