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Scientific method is described as a scientific approach to a problem. To solve a problem you must first find the problem, access it, hypothesize a solution, illustrate your solution, try the solution, and then finally try it. If this does not work start over.
Scientists will generally use their brains to solve math or other problems. Once they have established the mathematical formula to be solved, they would use a computer or (scientific) calculator to evaluate the math problem and get a solution.
The classical problem of angle trisection cannot be solved. If it were possible, it would provide the solution to a cubic equation. (-but it isn't and it won't!)
An algorithm is the series of steps to solve problem, so you would be looking for the series of steps to solve a math problem.
There was no word problem, so it would be a null equation.