Use the square root property to solve the equation. The equation has real number solutions.

Question

left parenthesis x plus 3 right parenthesis squaredequals9
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Part 1
xequals
  
enter your response here
​(Simplify your answer. Type an exact​ answer, using radicals as needed. Use a comma to separate answers as​ needed.)

Answer 1

To solve the equation \((x + 3)^2 = 9\) using the square root property, we first take the square root of both sides. This gives us two possible equations:

\[ x + 3 = 3 \quad \text{and} \quad x + 3 = -3 \]

Now, we'll solve each equation:

1. For the first equation: \[ x + 3 = 3 \] Subtract 3 from both sides: \[ x = 3 - 3 = 0 \]

2. For the second equation: \[ x + 3 = -3 \] Subtract 3 from both sides: \[ x = -3 - 3 = -6 \]

Thus, the solutions to the equation \((x + 3)^2 = 9\) are:

\[ x = 0, -6 \]

In simplified form, you can express the answer as:

\[ \boxed{0, -6} \]