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Solve for x: x^2 + 6x + 9 = 0.
Solve for x: x^2 + 6x + 9 = 0.
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Practice Questions
1 question
Q1
Solve for x: x^2 + 6x + 9 = 0.
x = -3
x = 3
x = 0
x = -9
Show Solution
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This factors to (x + 3)(x + 3) = 0, so x = -3.
Questions & Step-by-step Solutions
1 item
Q
Q: Solve for x: x^2 + 6x + 9 = 0.
Solution:
This factors to (x + 3)(x + 3) = 0, so x = -3.
Steps: 7
Show Steps
Step 1: Start with the equation x^2 + 6x + 9 = 0.
Step 2: Look for two numbers that multiply to 9 (the last number) and add to 6 (the middle number).
Step 3: The numbers 3 and 3 work because 3 * 3 = 9 and 3 + 3 = 6.
Step 4: Rewrite the equation using these numbers: (x + 3)(x + 3) = 0.
Step 5: This can also be written as (x + 3)^2 = 0.
Step 6: To solve for x, set x + 3 = 0.
Step 7: Subtract 3 from both sides: x = -3.
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