Question 13 of 17 , Step 1 of 1 Correct Does $x=-7$ solve the following polynomial equation? \[ -54 x^{2}+11 x=8 x^{3}+21 \] Answer

Step 1 ：To check if \(x=-7\) is a solution to the given polynomial equation, we need to substitute \(x=-7\) into the equation and check if both sides of the equation are equal.

Step 2 ：Substitute \(x=-7\) into the equation, we get left side as -2723 and right side as -2723.

Step 3 ：Since both sides of the equation are equal, we can conclude that \(x=-7\) is a solution to the given polynomial equation.

Step 4 ：\(\boxed{\text{Yes, } x=-7 \text{ is a solution to the given polynomial equation.}}\)