Can you give me 30 similar problems college level :  −4z−12=0 by factoring.

Certainly! Here are 30 similar college-level problems that involve solving equations by factoring:

1. \( 5x + 15 = 0 \)
2. \( 6y - 18 = 0 \)
3. \( 3a + 9 = 0 \)
4. \( -7b - 21 = 0 \)
5. \( 8c + 24 = 0 \)
6. \( -9d + 27 = 0 \)
7. \( 2e + 10 = 0 \)
8. \( 4f - 16 = 0 \)
9. \( -5g + 25 = 0 \)
10. \( 10h + 50 = 0 \)
11. \( 3i - 12 = 0 \)
12. \( -6j + 18 = 0 \)
13. \( 7k + 35 = 0 \)
14. \( -8m - 32 = 0 \)
15. \( 9n + 27 = 0 \)
16. \( -10p - 30 = 0 \)
17. \( 12q + 36 = 0 \)
18. \( -15r - 45 = 0 \)
19. \( 11s + 33 = 0 \)
20. \( -14t + 42 = 0 \)
21. \( 13u + 39 = 0 \)
22. \( -16v + 48 = 0 \)
23. \( 2w - 6 = 0 \)
24. \( 4x + 8 = 0 \)
25. \( -7y - 49 = 0 \)
26. \( 9z + 18 = 0 \)
27. \( 5a - 25 = 0 \)
28. \( -6b + 24 = 0 \)
29. \( 3c + 15 = 0 \)
30. \( -8d - 40 = 0 \)

Each of these problems can be solved by isolating the variable and then factoring or dividing out the common factor.

Would you like detailed solutions for any of these problems, or do you have any other questions?

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Here are 5 relative questions:

1. How do you factor linear equations like these effectively?
2. What is the general approach to solving equations of the form \(ax + b = 0\)?
3. How can you check your solutions after factoring?
4. What is the role of the greatest common divisor in factoring these types of equations?
5. How can factoring help in solving quadratic or higher-degree equations?

**Tip:** Always check for common factors in the terms before factoring. It simplifies the equation and reduces the chances of errors.

Learn how to solve the college-level equation -4z - 12 = 0 by factoring. This problem involves factoring linear equations, a fundamental skill in algebra. Suitable for college-level students.

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