Final answer:
To solve the equation 6x³ = 5x - 8, subtract 5x and add 8 to both sides to rearrange the equation. Solve for the root using factoring, which gives x = -5. Therefore, the correct answer is c. -5.
Step-by-step explanation:
To solve the equation 6x³ = 5x - 8, we need to rearrange the equation to make one side equal to zero. We can do this by subtracting 5x and adding 8 to both sides of the equation: 6x³ - 5x + 8 = 0. Next, we can use factoring or synthetic division to find the roots of the equation. In this case, using factoring, we find that the root is x = -5. Therefore, the correct answer is c. -5.