Question

find solutions
2sinxcosx+cosx=0

Answer 1

Start by factoring the equation
\[\cos(x) (2\sin(x)+1) = 0\]

Answer 2

Since multiplying by 0 will give 0, set both of them to equal 0.
\[\cos(x) = 0\]\[2\sin(x)+1 = 0\]

Answer 3

After simplifying the second equation you should get\[\sin(x)=-\frac{ 1 }{ 2 }\]Now solve for x for both equations