Để giải phương trình này, ta có thể đặt x^3 = a. Khi đó, phương trình trở thành a^3 * 87 = a * 143.

Simplifying the equation, we have:
87a^3 = 143a

Dividing both sides by a, we get:
87a^2 = 143

Dividing both sides by 87, we have:
a^2 = 143/87

Taking the square root of both sides, we get:
a = sqrt(143/87)

Therefore, x^3 = sqrt(143/87).

To find x, we take the cube root of both sides:
x = (sqrt(143/87))^(1/3)

Using a calculator, we can find the approximate value of x to be:
x ≈ 1.267