Solve the equation.
x2 + 12x + 36 = 25
(1 point)
Responses
11, 1
11, 1
–1, 1
–1, 1
–1, –11
–1, –11
11, –11
To solve the equation x^2 + 12x + 36 = 25, we first subtract 25 from both sides to get rid of the constant term:
x^2 + 12x + 36 - 25 = 0
Simplifying this equation gives:
x^2 + 12x + 11 = 0
Now, we can factor this equation:
(x + 11)(x + 1) = 0
Setting each factor equal to zero gives two possible solutions:
x + 11 = 0 or x + 1 = 0
Solving each equation gives:
x = -11 or x = -1
Therefore, the solutions to the equation x^2 + 12x + 36 = 25 are x = -11 and x = -1.