Answer:
To solve the quadratic equation x^2 + 9x +25 = 5 by factoring, we first rearrange the equation to get:
x^2 + 9x +20 = 0
Next, we need to find two numbers that multiply by 20 and add to 9, the coefficient of x. The two numbers are 4 and 5.
So, we can factor the quadratic as:
(x + 4)(x + 5) = 0
Setting each factor to zero and solving for x, we get:
x + 4 = 0 or x + 5 = 0
Solving for x in each equation, we get:
x = -4 or x = -5
Therefore, the solutions to the quadratic equation x^2 + 9x +25 = 5 are x = -4 and x = -5.