4 over t-3 + t over 2=-2

Simplest denominator, 2(t-3)

If it's , then the correct quadratic equation to solve is: 

As this trinomial cannot be factored with INTEGERS, the equation can be solved using any of the following methods:

1) Quadratic equation formula

2) Completing the square

3) Graphing the parabola, and determining its roots/zeroes/solutions/x-intercepts.

Note that the other person's answer:  is TOTAL RUBBISH/GARBAGE, and so, as everyone knows by now, IGNORE this and MANY of his other "attempts." 

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