exam Maths Puzzle Numerical Ability

Hi I previously asked this question, however I had made a mistake, the question is
How do you Find all values of k so that {{{ t^2+kt-8 }}} can be factored using integers?

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exam Other Question

A grain-storage warehouse has a total of 30 bins. Some hold 20 tons of grain each, and the rest hold 15 tons each. How many of each type of bin are there if the capacity of the warehouse is 510 bins? Use substitution to solve each system of equations. If the system does not have exactly one solution, state whether it has no solution or infinitely many solutions.