Solve the equation 45 x^{3}+69 x^{2}-13 x-5=0 given that -5/3 is a zero of f(x)=45 x^{3}+69 x^{2}-13 x-5
The solution is what ?

Step 1 ：Given that -5/3 is a root of the equation, we can use synthetic division to find the other roots. Synthetic division is a shorthand method of dividing a polynomial by a linear binomial by using only the coefficients. The coefficients of the polynomial are 45, 69, -13, and -5. The root is -5/3.

Step 2 ：Performing synthetic division with these coefficients and the root, we get a new set of coefficients: 45, -6.0, -3.0.

Step 3 ：We then find the roots of the resulting polynomial using these new coefficients. The roots are 0.33333333 and -0.2.

Step 4 ：Therefore, the solutions to the original equation are -5/3, 0.33333333, and -0.2.

Step 5 ：Final Answer: The solutions to the equation are \(\boxed{-\frac{5}{3}, 0.33333333, -0.2}\).