we have
[tex]5x^{2} +27x=14-13x[/tex]
Group terms that contain the same variable, and move the constant to the opposite side of the equation
[tex]5x^{2} +27x+13x=14[/tex]
[tex]5x^{2} +40x=14[/tex]
Factor the leading coefficient
[tex]5(x^{2} +8x)=14[/tex]
Complete the square. Remember to balance the equation by adding the same constants to each side.
[tex]5(x^{2} +8x+4^{2})=14+5(4^{2})[/tex]
[tex]5(x^{2} +8x+16)=14+80[/tex]
[tex]5(x^{2} +8x+16)=94[/tex]
therefore
the answer is the option
[tex]5(x^{2} +8x+16)=94[/tex]
