SOLUTION: find the value of x (4x+12)(3x+40)=180

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Question 678397: find the value of x
(4x+12)(3x+40)=180
Answer by ReadingBoosters(3246) About Me  (Show Source):
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FOIL
{4x)(3x) + 4x(40) + 12(3x) + 12(40) = 180
12x%5E2+%2B+160x+%2B+36x+%2B+480+=+180
Combine like terms
12x%5E2+%2B+196x+%2B+480+-+180+=+0
12x%5E2+%2B+196x+%2B+300+=+0
Divde the entire equation by 12
x%5E2+%2B+49%2F3+%2B+25+=+0
Quadtratic Formula
x = %28-196+%2B-+sqrt%28196%5E2-4%2812%29%28300%29%29%29%2F2%2812%29
x = %28-196+%2B-+sqrt%2838416-14400%29%29%2F24
x = %28-196+%2B-+sqrt%2824016%29%29%2F24
x = %28-196+%2B-+sqrt%2816%2A1501%29%29%2F24
x = %28-196+%2B-+4sqrt%281501%29%29%2F24
x = %28-49cross%28-196%29%2B-+cross%284%29sqrt%281501%29%29%2F%286cross%2824%29%29
...
highlight_green%28x=%28-49%2Bsqrt%281501%29%29%2F6%29
AND
highlight_green%28x=%28-49-sqrt%281501%29%29%2F6%29
.....................
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