# Determine the solution set of (3x + 1)^{2} - 100 = 0.

**Solution:**

Given (3x + 1)^{2} - 100 = 0

Let us solve the equation to find the unknown variable x.

Add 100 on both sides

(3x + 1)^{2} = 100

Apply square root on both sides

√(3x + 1)^{2} = √100

3x + 1 = ±10

3x = 9, -11

x = 3, -11/3

## Determine the solution set of (3x + 1)^{2} - 100 = 0.

**Summary:**

The solution set of (3x + 1)^{2} - 100 = 0 is 3, -11/3.

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