I'm attempting to factor the equation -6x^2-12x+48 into the (x-a)(x-b) format. I managed to find that the two factors that would work would be -24 and 12, as multipled together they equal the product of -6 and 48 while when added together equal -12.
So I tried the box method to attempt to figure out the rest of the values
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-6x (-6x^2) (-24x)
12 (12x) (48)
By that, the solution should be (-6x-24)(-6x+12), but this is obviously not the case. -6x multiplied by -6x equals 36x^2, not -6x^2. Could someone tell me where I'm messing this up?