2x+x⁹=0

To solve the equation 2x + x^9 = 0, you need to isolate x. Here's how you can do it:

1. Move the term 2x to the other side of the equation by subtracting 2x from both sides: x^9 = -2x

2. Divide both sides of the equation by x: (x^9) / x = (-2x) / x

Simplifying: x^8 = -2

3. Now, take the 8th root of both sides to eliminate the exponent of 8 on x: (x^8)^(1/8) = (-2)^(1/8)

Simplifying: x = -2^(1/8)

So, the solution to the equation 2x + x^9 = 0 is x = -2^(1/8).