Question

HELP ASAP

Answer 1

Ur first gonna move that 3 to the other side
4x^2 + 16x = -3

so ur isolating the constant

Answer 2

Answer:

"Factor 4 out of the variable terms".

Step-by-step explanation:

The given equation is

$4x^{2} +16x+3=0$

Now, according to the problem, Maya is solving by completing the square.

The first step she needs to do is to factor 4 out of the variable terms,

$4(x^{2} +4x)+3=0$

Then, we move the constant to the other side

$4(x^{2} +4x)=-3$

Now, we divide the linear term by 2, and find its square power

$x^{2} +4x+(\frac{4}{2} )^{2} =-\frac{3}{4} +4\\x^{2} +4x+4=\frac{16-3}{4} \\x^{2} +4x+4=\frac{13}{4}$

Then, we factor the perfect square trinomial

$(x+2)^{2}=\frac{13}{4}$

Now, we solve for $x$

$x=\sqrt{\frac{13}{4} } -2$

Remember, a square root always has two solutions

$x_{1}= +\frac{\sqrt{13} }{2} -2\\x_{1}= -\frac{\sqrt{13} }{2} -2$

Therefore, the first step Maya should take is "Factor 4 out of the variable terms".