SOLUTION: (h-3)(h-9)(h)=324

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Question 76630: (h-3)(h-9)(h)=324
Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
expand left side and subtract 324 to give h%5E3-12h%5E2%2B27h-324=0...noticing that 12*27=324, a judicious rearrangement gives %28h%5E3%2B27h%29-%2812h%5E2%2B324%29=0...factoring gives %28h%28h%5E2%2B27%29%29-%2812%28h%5E2%2B27%29%29=0

another juggling gives %28h%5E2%2B27%29%28h-12%29=0...so h=12, h=3%28sqrt%28-3%29%29 and h=-3%28sqrt%28-3%29%29