Find the solutions to
\(\frac{x(x^2-56)}{4-7x}-\frac{21x+22}{x^3+2}=4\) Enter all the solutions, separated by commas.
Enter all the solutions, separated by commas.
The solutions are 1, -7.1576, 0.54792, and 5.6097.
Multiply by the common denominator, multiplying and simplifying throughout, and taking all terms to one side:
x6 - 28x4 - 14x3 + 147x2 + 14x - 120 = 0
Checking possible solutions, these become the solutions: -4, -3, -1, 1, 2, 5.