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I believe the problem is "simplify" instead of "solve"

divide first terms \[\rm \frac{ -18x^3 }{ 3x } = ??\]

x^3 can be written as x times x times x
so \[\rm \frac{ x \times x \times x }{ x } = ??\]

nope
you can cancel one x right ?

\[\rm \frac{ x \times x \times \cancel x }{ \cancel x } = ??\]

yes right!

now 2nd step |dw:1433975352357:dw|
distribute divisor by
-6x^2
so -6x^2 (3x+2)

nope
when you multiply same bases you should add their exponents

yes x^3 is right but there is a little mistake :-)

you forgot negative sign

there you go!

|dw:1433975913009:dw|
step 3 change sign and then combine like terms :-)

yes right! now repeat!

|dw:1433976142678:dw|
divide first terms
12x^2/3x

yep!

6 by 2 ??

4x right
now 2nd step distribute!

1st step is divide you did that now 2nd step distribute 4x by divisor

you got 4x now distribute divisor by 4x
4x(3x+2) = ?

|dw:1433976698488:dw|

remember when you multiply same bases you should add their exponents
so 4x times 3x = ?

yep right :-)

|dw:1433976885337:dw|
try!

is that the quotient ?

is that a guess ?

alright |dw:1433977488813:dw|
yes that's right
9x/3x = 3

|dw:1433977855878:dw|
change sign at the end and then combine like terms what did yo uget

nope that's the quotient |dw:1433977995683:dw|

change sign |dw:1433978205001:dw|
combine like terms