SOLUTION: need help with quadratic problem 4x^2 + 27x -7

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Question 2714: need help with quadratic problem
4x^2 + 27x -7
Answer by xcentaur(357) About Me  (Show Source):
You can put this solution on YOUR website!
4x%5E2+%2B+27x+-+7+=+0+


We need factors that when multiplies give us: (4*-7)=-28
We also need factors that when added up give us: +27
These factors are: +28,-1


4x%5E2+%2B+27x+-+7+=+0+


4x%5E2+%2B+28x+-1x+-+7+=+0+


4x%28x+%2B+7%29-1%28x+%2B+7%29+=+0+


%28x%2B7%29%284x-1%29+=+0+


Thus we get,
(x+7)=0 AND (4x-1)=0


Resulting values of x becoming,
x=-7 AND x=(1/4)


Solution set={-7,1/4}


Hope this helps,
best of luck