Question

gio is solving the quadratic equation by completing the square.
$5x^2 + 15x - 4 = 0$
what should gio do first?
\\(\circ\\) isolate the constant.
\\(\circ\\) factor 5 out of the variable terms.
\\(\circ\\) isolate the variable \\(x\\).
\\(\circ\\) add 9 to both sides of the equation.

Explanation:

To solve a quadratic equation \(ax^{2}+bx + c = 0\) by completing the square, when \(a
eq1\), the first step is to factor out the coefficient of \(x^{2}\) from the variable terms (\(x^{2}\) and \(x\) terms). For the equation \(5x^{2}+15x - 4=0\), the variable terms are \(5x^{2}\) and \(15x\), and we factor out 5 from them. Isolating the constant or variable \(x\) is not the first step here, and adding 9 is done later in the process, not first.

Answer:

B. Factor 5 out of the variable terms.