x² – 35 = 2x

how do I solve this?

2 answers

Arrange it so all the terms are on the left hand side:
x²-2x-35=0
Factorize, i.e. look for two integers that multiply together will give -35, and when added together will give -2.

-1*35=-35, but -1+35=34, not good
-5*7=-35, but -5+7=+2 (not -2) not good
However, we only have to change the signs to get
5*-7=-35, 5+(-7)=-2 OK
So the factors are:
(x-7)(x+5)=0
THis means either (x-7)=0, or (x+5)=0,
or x=7, or x=-5
-6 = -( x- 5) -3 ( 5+ 2x) -4 (2x -4) solve for x
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