First, we can simplify the left side of the equation:
(w+7)^2 - 45 = 0
(w+7)^2 = 45
w+7 = ±√45
w = -7 ± √45
Rounding to the nearest hundredth, we get:
w = -7 + 6.71 ≈ -0.29 or w = -7 - 6.71 ≈ -13.71
Therefore, the solutions are approximately w = -0.29 or w = -13.71