Solve for r 144pr-6p^2r^2=0

Problem

144*p*r−6*p2*r2=0

Solution

1. Identify the common factors in both terms of the quadratic equation.

2. Factor out the greatest common factor, which is 6*p*r

6*p*r*(24−p*r)=0

3. Apply the zero product property, which states that if the product of two factors is zero, at least one factor must be zero.

6*p*r=0

24−p*r=0

4. Solve the first equation for r by dividing both sides by 6*p (assuming p≠0.

r=0

5. Solve the second equation for r by first isolating the term with r

−p*r=−24

6. Divide both sides by −p to find the second value for r (assuming p≠0.

r=24/p

Final Answer

r=0,24/p

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