Step-by-step explanation: In this problem we have four consecutive even integers that have a sum of -52. Consecutive even integers can be represented as followed.
X
X + 2
X + 4
X + 6
Since the sum of these is -52, we can set up an equation to represent this.
X + X + 2 + X + 4 + X + 6 = -52
4x + 12 = -52
4x = -64
X = -16
X + 2 = -14
X + 4 = -12
X + 6 = -10