\(\displaystyle{2}{x}^{{2}}+{1}={19}\)

\(\displaystyle{2}{x}^{{2}}+{1}={19}\)

\(\displaystyle{2}{x}^{{2}}={19}-{1}\)

\(\displaystyle{2}{x}^{{2}}={18}\)

\(\displaystyle{x}^{{2}}={9}\)

\(\displaystyle{\left({x}+{3}\right)}{\left({x}+{3}\right)}\)

Final statement:

The value of x is 3 and -3 and the technique is factor.

\(\displaystyle{2}{x}^{{2}}+{1}={19}\)

\(\displaystyle{2}{x}^{{2}}={19}-{1}\)

\(\displaystyle{2}{x}^{{2}}={18}\)

\(\displaystyle{x}^{{2}}={9}\)

\(\displaystyle{\left({x}+{3}\right)}{\left({x}+{3}\right)}\)

Final statement:

The value of x is 3 and -3 and the technique is factor.