x(x ^ 2 - 36)(9x ^ 2 - 4) = 0

Answer 1

To solve the equation x(x^2 - 36)(9x^2 - 4) = 0, we can set each factor equal to zero and solve for x.

First, x = 0.

Next, we solve x^2 - 36 = 0.

Adding 36 to both sides, we get x^2 = 36.

Taking the square root of both sides, we have x = ±6.

Finally, we solve 9x^2 - 4 = 0.

Adding 4 to both sides, we get 9x^2 = 4.

Dividing both sides by 9, we have x^2 = 4 / 9.

Taking the square root of both sides, we get x = ±2/3.

Therefore, the solutions to the equation x(x^2 - 36)(9x^2 - 4) = 0 are x = 0, x = 6, x = -6, x = 2/3, and x = -2/3.