n^2+7n+15=5show work please
n^2+7n+15=5n^2 + 7n + 10 = 0(n + 5)(n + 2) = 0n + 5 = 0n = -5n + 2 = 0n = -2Answer: n = -5 and -2
\(n^2+7n+15=5\)\(n^2+7n=-10\)\(n^2+7n+(\frac{7}{2})^2=-10+(\frac{7}{2})^2\)\(n^2+7n+\frac{49}{4}=-10+\frac{49}{4}\)\((n+\frac{7}{2})^2=\frac{9}{4}\)\(n+\frac{7}{2}=\sqrt{\frac{9}{4}}\)\(n=-\frac{7}{2}+\sqrt{\frac{9}{4}}\)\(n=-2\)\(n=-5\)
