Solve for all solutions. Show all work for full credit. x3 + 343 = 0

The answer of this question is an imaginary value if we solve the cube root of - 343.

Step-by-step explanation:

x^3 + 343 = 0

x^3 = - 343

Taking cube root on both sides

∛ (x^3) = ∛ (-343)

x = ∛ (-343)

We can not solve it next because in cube root there is negative sign. If we solve it then it will give us an imaginary value.

x=-7

Step-by-step explanation:

Im not sure if what you meant was x cubed, but ill assume it is.

so 7 cubed is 343 so - 7 cubed is - 343 which cancels out was positive 343 so the answer is x=-7