we have
[tex]8x^{2}+16x+3=0[/tex]
Step 1
Group terms that contain the same variable, and move the constant to the opposite side of the equation
[tex]8x^{2}+16x=-3[/tex]
Step 2
Factor the leading coefficient
[tex]8(x^{2}+2x)=-3[/tex]
Step 3
Complete the square. Remember to balance the equation by adding the same constants to each side.
[tex]8(x^{2}+2x+1)=-3+8[/tex]
[tex]8(x^{2}+2x+1)=5[/tex]
Step 4
Rewrite as perfect squares
[tex]8(x+1)^{2}=5[/tex]
[tex](x+1)^{2}=\frac{5}{8} \\\\(x+1)=(+/-)0.79\\\\x1=0.79-1=-0.21\\\\x2=-0.79-1=-1.79[/tex]
therefore
the answer is
[tex]8(x^{2}+2x)=-3[/tex]
[tex]8(x^{2}+2x+1)=-3+8[/tex]
The steps are used to solve the equation are as follows
8(x2 + 2x) = –3
And 8(x2 + 2x + 1) = –3 + 8.
The roots of the quadratic equation can be determined by using the factorization following all the steps given below.
Given information
Patel is solving 8x2 + 16x + 3 = 0.
The quadratic equation solving by factorization method;
[tex]\rm 8x^2+16x+3=0\\\\ 8(x^2+2x)+3=0\\\\ 8(x^2+2x)=-3\\\\8(x^2+2x+1)=-3+8\\\\8x^2+16x=-3+8-8\\\\8x^2+16x=-3[/tex]
Hence, the steps are used to solve the equation are as follows 8(x2 + 2x) = –3 and 8(x2 + 2x + 1) = –3 + 8.
To know more about quadratic equations click the link given below.
brainly.com/question/2263981
