-Quadratic Equations-Determine the number and nature of the solutions to each equation; then find the solution.

Given the quadratic equation:
[tex]x^2+14x+49=0[/tex]By factoring the equation:
[tex]\begin{gathered} (x+7)(x+7)=0 \\ (x+7)^2=0 \end{gathered}[/tex]so, the number of solutions = 1 (real solution)
We will find the value of x:
[tex]\begin{gathered} x+7=0 \\ x=-7 \end{gathered}[/tex]