To solve the equation 4x³ + 15 = 27, we need to isolate the variable x.

First, we subtract 15 from both sides of the equation:

4x³ + 15 - 15 = 27 - 15

This simplifies to:

4x³ = 12

Next, we divide both sides of the equation by 4 to solve for x:

4x³/4 = 12/4

This simplifies to:

x³ = 3

To find the value of x, we take the cube root of both sides of the equation:

∛(x³) = ∛3

This gives us:

x = ∛3

Therefore, the solution to the equation 4x³ + 15 = 27 is x = ∛3.