x2-15x+56 = 0
(x-8)(x-7) = 0
Therefore: x = 8 or x = 7
To ensure that your answer is correct multiply out the brackets and you should go back to the original quadratic equation.
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2x + 3 can be factored as follows: 2(x + 1.5)
6x2+5x+1 = (3x+1)(2x+1) when factored
20
(2x+5)(2x+1)
It's the general form of a quadratic expression and it can be factored providing its discriminant is not less than zero.