.06 / 30 is 0.02 I used photo math it shows step by step
Ax^2+bx+c=0
find what 2 numbers multiply to get c and add to get b
x^2-4x-12
b=-4
c=-12
x times y=-12
x+y=-4
factor -12
-1, 12
-2,6
-3,4
add
-1+12=11
-2+6=4
-3+4=1
the one that works is -2 and 6 because they can be reversed to make -6 and 2 which multiploy to get -12 and add to get -4 so
split it up into
x^2-4x-12=(x-6)(x+2)=0
set each to zero
x-6=0
add 6
x=6
x+2=0
subtract 2
x=-2
x=6 or -2
Starting from a parent function
, if you add a constant to the whole function, i.e. you perform the transformation

you shift the graph of the parent function by
units, upwards if
is positive, downwards otherwise.
In this case, so, you're shifting, the graph of
5 units upwards. Since the parent function passes through the point
, because
, the shifted graph mantains the same
coordinate, but the
coordinate is increased by 5, because of the 5 units upwards shift.
Part A
Her steps were

Kelsey made a mistake on line 3. Note how the 17/6 flips to 6/17. This is not correct. You keep the first fraction the same, but you do flip the second fraction. This only applies when you divide two fractions.
The third step should look like 
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Part B
Here's what she should have written

If you want to convert that improper fraction to a mixed number, then you could do something like this

Or you could divide 17 over 8 using long division to get 2 remainder 1. The 2 is the quotient that goes to the left of the 1/8. The remainder of 1 is the numerator of 1/8.