Question

Factor and solve for x:
64x³ = -8

Answer 1

x = -0.79

Explanation:

To factor this equation, we need to rewrite the left side as the product of two factors:

64x³ = -8

We can rewrite -8 as -2 * 4, so we can factor the left side as follows:

64x³ = -8

4x³ = -2

Now that we have factored the left side, we can divide both sides of the equation by 4 to solve for x:

4x³ = -2

x³ = -0.5

We can take the cube root of both sides to solve for x:

x³ = -0.5

x = -0.5^(1/3)

x = -0.79

Therefore, x = -0.79