Answer:
The correct answer is "x = 4" and "x = -12".
Step-by-step explanation:
The given equation is:
⇒ [tex]x^2+8x-30=18[/tex]
On subtracting "18" from both sides, we get
⇒ [tex]x^2+8x-30-18=18-18[/tex]
⇒ [tex]x^2+8x-48=0[/tex]
On applying factorization, we get
⇒ [tex]x^2+12x-4x-48=0[/tex]
On taking common, we get
⇒ [tex]x(x+12)-4(x+12)=0[/tex]
⇒ [tex](x-4)(x+12)=0[/tex]
⇒ [tex]x-4=0[/tex]
[tex]x=4[/tex]
or,
⇒ [tex]x+12=0[/tex]
[tex]x=-12[/tex]
