How do I solve them? Please someone teach me! 6x^8+9x^7+33x^5 3√13x+16√13x (7x^2 y^6 z^9)(5x^10y^7)?

6x^8 + 9x^7 + 33x^5
= 3^5 (2x^3 + 3x^2 + 11)


3√13x+16√13x
= 19√13x


(7x^2 y^6 z^9)(5x^10 y^7)
= (7*5)x^(2 + 10) y^(6 + 7) z^9
= 35x^12 y^13 z^9

These are expressions, and cannot be solved (no equal sign).

It can be rearranged, reordered, factored, etc., but cannot be solved.

6x^8+9x^7+33x^5

3x⁵ is in common so factor it out

3x⁵(2x³ + 3x² + 11)

You've listed a bunch of numbers. What do you need to learn how to do with them?

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1).
6x^8 + 9x^7 + 33x^5
= 3x^5(2x^3 + 3x^2 + 11)
Real roots:
x = 0
x ≈ -2.4308
Complex roots:
x ≈ 0.4654 - 1.4304 I
x ≈ 0.4654 + 1.4304 i
2).
3√13x + 16√13x
= 19√13x
3).
(7x^2 y^6 z^9)(5x^10y^7)
= 35x^12y^13z^9