Answer: The required steps are,
[tex]2(x^2+6x)=3[/tex]
[tex]2(x^2+6x+9)=3+18[/tex]
Step-by-step explanation:
Here, the given quadratic equation is,
[tex]2x^2+12x-3=0[/tex]
For solving the above equation, the steps are as follow,
Step 1 :
[tex]2x^2+12x-3=0[/tex]
Step 2 :
[tex]2x^2+12x=3[/tex]
Step 3 :
[tex]2(x^2+6x) =3[/tex]
Step 4 :
[tex]2(x^2+6x+9)=3+18[/tex]
Step 5 :
[tex](x+3)^2=\frac{21}{2}[/tex]
Step 6 :
[tex]x+3=\pm \sqrt{\frac{21}{2}}[/tex]
Step 7 :
[tex]x=-3 \pm \sqrt{\frac{21}{2}}[/tex]
Thus, by the above explanation we can find out the equations that will be used to solve the given quadratic equation.
