Answer:
x = -2
Step-by-step explanation:
[tex]f(x)=x^{2}+18x+7[/tex]
[tex]g(x)=-3x^{2}+2x-9[/tex]
[tex]f(x)=g(x)[/tex]
[tex]\implies x^2 +18x+7=-3x^2 +2x-9[/tex]
[tex]\implies 4x^2 +16x+16=0[/tex]
[tex]\implies x^2 +4x+4=0[/tex]
[tex]\implies (x+2)^2=0[/tex]
[tex]\implies x+2=0[/tex]
[tex]\implies x=-2[/tex]