Question

What are the missing pieces to the steps? –27 = 4x2 – 24x –27 = 4(x2 – 6x) –27 + = 4(x2 – 6x + 9) 9 = 4(x – 3)2 = (x – 3)2 ± = x – 3 = x

Answer 1

I think the 4 wasn't distributed correctly.  it should be one of the first steps.

Answer 2

Answer:

We can find out the missing pieces by the below explanation,

Here, the given equation,

$-27 = 4x^2 - 24x$

Step 1 :

$-27=4(x^2-6x)$

Step 2 :

$-27+36=4(x^2-6x+9)$

Step 3 :

$9=4(x-3)^2$

Step 4 :

$\frac{9}{4}=(x-3)^2$

Step 5 :

$\pm \frac{3}{2}=x-3$

Step 6 :

$x=3\pm \frac{3}{2}$