Given:
The given quadratic equation is
[tex]3(x+4)^{2} = 48[/tex]
or, [tex](x+4)^{2} =16[/tex]
And
The roots are given: [tex]x = -8 , x = 0[/tex]
To find the missing step.
Let us solve the equation.
[tex]3(x+4)^{2} = 48[/tex]
or, [tex](x+4)^{2} = 16[/tex]
or, [tex]x^{2} +8x+16 = 16[/tex] [ eliminating 16 from both the side]
or, [tex]x^{2} +8x = 0[/tex]
or, [tex]x(x+8) = 0[/tex]
or, [tex]x = 0, x = -8[/tex]
Hence,
The step 2 could be [tex]x^{2} +8x = 0[/tex]
