Respuesta :
Answer:
[tex]x=-4[/tex]
Step-by-step explanation:
we are given equation as
[tex]2x^2+8x=x^2-16[/tex]
Since, we have to solve for x
so, we will make all terms on left side
add both sides 16
[tex]2x^2+8x+16=x^2-16+16[/tex]
[tex]2x^2+8x+16=x^2[/tex]
Subtract both sides by x^2
[tex]2x^2+8x+16-x^2=x^2-x^2[/tex]
[tex]x^2+8x+16=0[/tex]
now, we can factor it
[tex](x+4)^2=0[/tex]
now, we can solve for x
and we get
[tex]x=-4[/tex]
Answer:
The only solution of given equation is x=-4.
Step-by-step explanation:
The given equation is
[tex]2x^2+8x=x^2-16[/tex]
[tex]2x^2+8x-x^2+16=0[/tex]
[tex]x^2+8x+16=0[/tex]
[tex]x^2+2(x)(4)+4^2=0[/tex]
[tex](x+4)^2=0[/tex] [tex]\because (a+b)^2=a^2+2ab+b^2[/tex]
[tex](x+4)=0[/tex]
[tex]x=-4[/tex]
Therefore the only solution of given equation is x=-4.
