Final answer:
To solve the equation -4x³ = 32, divide both sides by -4 and then take the cube root to find x = -2.
Step-by-step explanation:
To solve the equation -4x³ = 32, we need to isolate x by performing inverse operations. The first step is to divide both sides of the equation by -4, which gives us x³ = -8. Next, we take the cube root of both sides to eliminate the cube on x, resulting in x = -2. Therefore, the solution to the equation is x = -2.
Learn more about Solving an equation with a variable raised to a power of three