To solve for v in the equation mgh = 1/2mv^2 + 1/2mr^2(v/r)^2, one can simplify the equation by recognizing that the mass m can be canceled from both sides. The hint provided indicates that (v/r)^2 can be expressed as v^2/r^2, which aids in rearranging the equation. After simplifying, the focus shifts to finding reliable resources for learning algebra and physics, as the original poster expresses difficulty with the concepts. Recommendations for algebra resources include a specific website, while the search for effective physics learning materials continues, with some frustration expressed regarding the quality of available sites. The discussion emphasizes the challenges of mastering algebra and physics concepts while seeking helpful educational tools.