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Sunil is solving the quadratic equation by completing the square.

[tex]\[
\begin{array}{l}
6x^2 + 24x + 5 = 0 \\
6x^2 + 24x = -5
\end{array}
\][/tex]

What should Sunil do next?

A. Isolate the variable [tex]$x^2$[/tex].
B. Isolate the constant.
C. Factor 6 out of the variable terms.
D. Subtract [tex]$24x$[/tex] from both sides of the equation.



Answer :

GinnyAnswer
Alright, let's solve this step-by-step and help Sunil along the way.

Given the quadratic equation:
[tex]\[6x^2 + 24x + 5 = 0\][/tex]

First, move the constant term to the right side of the equation:
[tex]\[6x^2 + 24x = -5\][/tex]

Now, to simplify and set up for completing the square, factor 6 out of the [tex]\(x\)[/tex] terms:
[tex]\[6(x^2 + 4x) = -5\][/tex]

So, the next step that Sunil should take is:

Factor 6 out of the variable terms.

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