Final answer:
To solve the quadratic equation (w)(3w+5) = 0, we set the equation equal to zero and factor it. The solutions are w = 0 and w = -5/3.
Step-by-step explanation:
This is a quadratic equation in one variable, w. To solve it, we need to set the equation equal to zero and factor it.
So, (w)(3w+5) = 0 can be written as w = 0 or 3w+5 = 0.
For w = 0, the solution is w = 0.
For 3w+5 = 0, we subtract 5 from both sides to get 3w = -5. Then, we divide both sides by 3 to get w = -5/3. So, the solutions are w = 0 and w = -5/3.