Answer:
To solve for x, we can rearrange the equation as follows:
2x^3 + 30x - 16x^2 = 0
We can factor out 2x to get:
2x(x^2 + 15 - 8x) = 0
Now we can use the zero product property and set each factor equal to 0:
2x = 0 or x^2 + 15 - 8x = 0
Solving the first equation, we get:
2x = 0
x = 0
For the second equation, we can use the quadratic formula:
x = [8 ± sqrt(64 - 4(1)(15))] / 2
x = [8 ± sqrt(16)] / 2
x = 4 ± 2
So, x = 6 or x = 2.
Therefore, the solutions for x are x = 0, x = 2, and x = 6.
Explanation: