Solve 5x^2 - 16tx + 3t^2 for x without using quadratic formula.
I am interested in understanding the technique - I have the answers already: t/5, 3t
I have solved the subsequent question which is:
tx^2 + (tT - 1)x - T = 0, which seems easier because it breaks into four clusters which can be factored, then refactored and solved. The one I am asking about does not seem amenable to the same approach, or any other that I know.
The Attempt at a Solution
I am interested in higher maths but having to mend holes in elementary technique. Thanks in advance.