Final answer:
To complete the equation so that it has one solution, factor out z from each term and set the equation equal to zero. Solve for z using methods like quadratic formula or factoring.
Step-by-step explanation:
This is an equation in one variable, so we can solve for the unknown value. To complete the equation so that it has one solution, we can combine like terms and set the equation equal to zero:
-2(z³) - z + 4(z²) = 0
Next, we can factor out a z from each term:
z(-2z² - 1 + 4z) = 0
Now, we have two factors: z=0 and -2z² - 1 + 4z = 0. To find the solution for the second factor, we can use methods such as quadratic formula or factoring.