Answer:
x = 6 and x = -1.
Step-by-step explanation:
The given equation is :
[tex]6x^2-30x=36\\\\6x^2-30x-36=0\\\\or\\\\x^2-5x-6=0[/tex]
We can solve it using the middle term splitting method.
[tex]x^2-(6x-x)-6=0\\\\x^2-6x+x-6=0\\\\x(x-6)+1(x-6)=0\\\\(x-6)=0\ and\ (x+1)=0\\\\x=6\ and\ x=-1[/tex]
So, the solutions are x = 6 and x = -1.
