Hey There!
The answer to your problem is [tex]x=-3[/tex] or [tex]x=-4[/tex] both answers are correct!
Step 1: Subtract x²+12 from both sides.
−7x−(x²+12)=x²+12−(x²+12)
−x²−7x−12=0
Step 2: Factor left side of equation.
[tex](-x-3)(x+4)=0[/tex]
Step 3: Set factors equal to 0.
[tex]-x-3=0[/tex] or [tex]x+4=0[/tex]
Get your answer:
[tex]x=-3[/tex] or [tex]x=-4[/tex]