Question

sunil is solving the quadratic equation by completing the square.
$6x^2 + 24x + 5 = 0$
$6x^2 + 24x = -5$
what should sunil do next?
\\(\circ\\) isolate the variable $x^2$.
\\(\circ\\) isolate the constant.
\\(\circ\\) factor 6 out of the variable terms.
\\(\circ\\) subtract $24x$ from both sides of the equation.

Explanation:

To solve a quadratic equation by completing the square, when the coefficient of \(x^2\) is not 1, we first factor out the coefficient of \(x^2\) from the variable terms. Here, the equation after moving the constant is \(6x^{2}+24x=-5\). The variable terms are \(6x^{2}\) and \(24x\), and we can factor out 6 from them (since 6 is the coefficient of \(x^{2}\) and 24 is divisible by 6). Isolating \(x^{2}\) or the constant is not the next step here, and subtracting \(24x\) would move us backward. So the next step is to factor 6 out of the variable terms.

Answer:

Factor 6 out of the variable terms.