mkdir ~/ffmpeg_sources
mkdir ~/ffmpeg_build
mkdir ~/bin
yum install autoconf automake bzip2 bzip2-devel cmake freetype-devel gcc gcc-c++ git libtool make mercurial pkgconfig zlib-devel
cd ~/ffmpeg_sources
curl -O -L https://www.nasm.us/pub/nasm/releasebuilds/2.14.02/nasm-2.14.02.tar.bz2
tar xjvf nasm-2.14.02.tar.bz2
cd nasm-2.14.02
./autogen.sh
./configure --prefix="$HOME/ffmpeg_build" --bindir="$HOME/bin"
make
make install
cd ~/ffmpeg_sources
curl -O -L https://www.tortall.net/projects/yasm/releases/yasm-1.3.0.tar.gz
tar xzvf yasm-1.3.0.tar.gz
cd yasm-1.3.0
./configure --prefix="$HOME/ffmpeg_build" --bindir="$HOME/bin"
make
make install
cd ~/ffmpeg_sources
git clone --depth 1 https://code.videolan.org/videolan/x264.git
cd x264
PKG_CONFIG_PATH="$HOME/ffmpeg_build/lib/pkgconfig" ./configure --prefix="$HOME/ffmpeg_build" --bindir="$HOME/bin" --enable-static
make
make install
cd ~/ffmpeg_sources
git clone --depth 1 https://github.com/mstorsjo/fdk-aac
cd fdk-aac
autoreconf -fiv
./configure --prefix="$HOME/ffmpeg_build" --disable-shared
make
make install
cd ~/ffmpeg_sources
curl -O -L https://downloads.sourceforge.net/project/lame/lame/3.100/lame-3.100.tar.gz
tar xzvf lame-3.100.tar.gz
cd lame-3.100
./configure --prefix="$HOME/ffmpeg_build" --bindir="$HOME/bin" --disable-shared --enable-nasm
make
make install
cd ~/ffmpeg_sources
git clone https://dalmate@bitbucket.org/uiza-team/ffmpeg.git
cd ffmpeg
PATH="$HOME/bin:$PATH" PKG_CONFIG_PATH="$HOME/ffmpeg_build/lib/pkgconfig" ./configure \
--prefix="$HOME/ffmpeg_build" \
--pkg-config-flags="--static" \
--extra-cflags="-I$HOME/ffmpeg_build/include" \
--extra-ldflags="-L$HOME/ffmpeg_build/lib" \
--extra-libs=-lpthread \
--extra-libs=-lm \
--bindir="$HOME/bin" \
--enable-gpl \
--enable-libfdk_aac \
--enable-libfreetype \
--enable-libmp3lame \
--enable-libx264 \
--enable-nonfree
make
make install
All results will be put in ~/bin directory. You can copy ffmpeg from here to use