Final answer:
To solve the equation 9v² = 30v - 25, rearrange it in standard form by moving all terms to one side. Then, factor the quadratic equation and set each factor equal to zero to find the solution v = 5/3.
Step-by-step explanation:
To solve the equation 9v² = 30v - 25, we can rearrange it to get a quadratic equation in standard form. First, move all the terms to one side of the equation:
9v² - 30v + 25 = 0
Next, we can factor the quadratic equation:
(3v - 5)(3v - 5) = 0
Setting each factor equal to zero, we find that:
3v - 5 = 0
3v = 5
v = 5/3
Therefore, the solution to the equation is v = 5/3. There is only one solution.