(6a-5)x5a=ax2-35a
Remove parentheses Reorder
30a2-25a=2a-35a
Collect the terms
30a2-25a=-33a
Move variable to the left
30a2-25a+33a=0
Collect like terms
30a2+8a=0
Factor the expression
2ax(15a+4)=0
Divide both sides by 2
ax(15a+4)=0
Split into possible cases
a=0
15a+4=0
Solve the equation
a=0
a=-4
_
15
The final solutions are
a =-4
1 —, a = 0
14. 2