You have a sha256 mismatch on the downloaded file jdk-7u51-linux-i586.tar.gz which means is most likely corrupted.

so what i need to do ? im really impatient and i want to install this java

guys , i got this error when i want to open my program , what i need to do ? http://gyazo.com/b23617bb562f0cd89ccd01a6a316080b

I had the same problem for JDK 6, see my answer

https://www.digitalocean.com/community/questions/unable-to-install-java-jdk-6-on-ubuntu-13-10-x64

You need to manually install it, looks like Oracle is blocking the download as the file does not download which results in the sha256 error message