Svetlana Z. answered 02/23/16
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Female Engineer, UC Berkeley PhD, 30+years industry 1700+ hours tutor
If the product of two factors is zero, then the solution is found by setting each factor separately to zero.
In this case we have:
6t(13t+7) = 0
That means that either:
1. 6t = 0, which means t=0
or
2. 13t+7 = 0, which means t=-7/13
So the two solutions are; t=0 and t=-7/13