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

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

Found 2 solutions by Mathtut, Earlsdon:
Answer by Mathtut(3670) (Show Source): You can put this solution on YOUR website!

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
:

:
5x+2=0--->5x=-2--->x=-2/5
7x-1=0---->7x=1--->x=1/7
:
x=
Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
Solve by factoring:
Add 9x to both sides.

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:
Apply the zero product.
or , so...
or
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