Answer:k=−a3−a2b−36a−36b+217/a2+ab
Step-by-step explanation:Step 1: Flip the equation.
a3+a2b+a2k+abk+36a+36b=217
Step 2: Add -a^3 to both sides.
a3+a2b+a2k+abk+36a+36b+−a3=217+−a3
a2b+a2k+abk+36a+36b=−a3+217
Step 3: Add -a^2b to both sides.
a2b+a2k+abk+36a+36b+−a2b=−a3+217+−a2b
a2k+abk+36a+36b=−a3−a2b+217
Step 4: Add -36a to both sides.
a2k+abk+36a+36b+−36a=−a3−a2b+217+−36a
a2k+abk+36b=−a3−a2b−36a+217
Step 5: Add -36b to both sides.
a2k+abk+36b+−36b=−a3−a2b−36a+217+−36b
a2k+abk=−a3−a2b−36a−36b+217
Step 6: Factor out variable k.
k(a2+ab)=−a3−a2b−36a−36b+217
Step 7: Divide both sides by a^2+ab.
k(a2+ab)
a2+ab
=
−a3−a2b−36a−36b+217
a2+ab
k=
−a3−a2b−36a−36b+217
a2+ab