I am having trouble solving for x in this equation

\(\displaystyle 0=10sin(1.256637061*3+x)\)

If someone could help, it would be greatly appreciated.

You could simply argue that \(\displaystyle \sin(0) = 0.\)

\(\displaystyle 0=10\times\sin(\underbrace{1.26\cdot3+x})\) Set this part equal to 0 and solve.

Or,

\(\displaystyle 0=10\times\sin(1.26\cdot 3+x)\)

\(\displaystyle \implies \sin(3.77+x) =0\)

\(\displaystyle \implies \sin^{-1}(\sin(3.77+x)) =\sin^{-1}(0)\)

\(\displaystyle \implies 3.77+x =0\)

\(\displaystyle \implies \fbox{x= -3.77}\)