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What times what is equaled to -180 but is also added to -31
so x times y=-180 or xy=-180 and x+y=-31 so x+y=-31 subtract x or y from both sides it doesn't matter so if subtract x y=-x-31 subsitute this for y in xy=-180 (-x-31)x=-180 distribute -x^2-31x=-180 add x^2 and 31x to both sides x^2+31x-180=0 factor (x-5)(x+36)=0 so if ab=0 then a and/or b=0 so x-5=0 x=5 x+36=0 x=-36
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