(4x + 5)(x + 7) = 0
To solve this equation, we can use the zero product property which states that if the product of two factors is equal to 0, then at least one of the factors must be 0. Therefore:
4x + 5 = 0 or x + 7 = 0
Solving for x in each equation, we get:
4x = -5 or x = -7
x = -5/4 or x = -7
Therefore, the solution set is {x = -5/4, x = -7}.
To solve this equation, we need to find the values of x for which one or both of the factors are equal to 0.
Case 1: (4x + 5) = 0
4x + 5 = 0
4x = -5
x = -5/4
x = -1.25
Case 2: (x + 7) = 0
x + 7 = 0
x = -7
So, the solutions are x = -1.25 and x = -7.