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Solve for v. 9v²=30v-25 If there is more than one solution, separate them with commas.

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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.

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