https://file.aiquickdraw.com/mathbot/file/1725528024021p9dxhlpo.jpg

From the image, I can read two equations:

1. \( 0 = x^3 + 2x^2 + x \)
2. \( 0 = -2x^3 + 12x^2 - 18x \)

Would you like me to solve these equations, or provide further explanations about their structure and solutions?

Let me know if you'd like details on factoring, solving, or other aspects.

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Here are 5 related questions:

1. How can you solve cubic equations in general?
2. How do you factor polynomials like these?
3. What methods exist to check the roots of a cubic equation?
4. What is the role of synthetic division in solving polynomials?
5. What techniques simplify complex polynomial equations?

**Tip**: Always check for common factors first when solving polynomial equations—it simplifies the process!

Solve the cubic equations: 0 = x^3 + 2x^2 + x and 0 = -2x^3 + 12x^2 - 18x

Learn how to solve cubic equations like 0 = x^3 + 2x^2 + x and 0 = -2x^3 + 12x^2 - 18x by using factorization techniques. This tutorial covers polynomial factorization and algebraic methods, suitable for students in Grades 9-12.

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