SOLUTION: Solve by factoring 35x^2-2=-9x

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Question 174282: Solve by factoring
35x^2-2=-9x

Found 2 solutions by Mathtut, Earlsdon:
Answer by Mathtut(3670) About Me  (Show Source):
You can put this solution on YOUR website!
35x%5E2%2B9x-2
we have several choices for the squared part of the factor
:
1 and 35
5 and 7
for the constant we have 1 and 2:
:
between those combinations we have to get the middle term of 9x. If we dont find a combination we can use the quadratic formula
:
%285x%2B2%29%287x-1%29
:
5x+2=0--->5x=-2--->x=-2/5
7x-1=0---->7x=1--->x=1/7
:
x=system%28-2%2F5%2C1%2F7%29

Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Solve by factoring:
35x%5E2-2+=+-9x Add 9x to both sides.
35x%5E2%2B9x-2+=+0
The factors of the first coefficient, 35, are 1 and 35 or 7 and 5.
The factors of the constant, -2, are -1 and 2 or 1 and -2.
Try:
%287x-1%29%285x%2B2%29+=+0 Apply the zero product.
7x-1+=+0 or 5x%2B2+=+0, so...
highlight%28x+=+1%2F7%29 or highlight%28x+=+-2%2F5%29