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geerky42 (geerky42):
Add both sides by 4x+1.
OpenStudy (anonymous):
okay so then you get 4x^2+4x+1=0 how do you factor this
OpenStudy (anonymous):
@geerky42
OpenStudy (mathstudent55):
To factor 4x^2 + 4x + 1, set up two sets of parentheses:
( )( )
On the left side of each you need two factors of 4x^2. Either 4x and x, or 2x and 2x. Let's try 2x and 2x
(2x )(2x )
OpenStudy (mathstudent55):
On the right side of the parentheses, you need two factors of 1 which have to be 1 and 1:
(2x + 1)(2x + 1)
Now FOIL it to make sure it's right.
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OpenStudy (anonymous):
It is, thank youuuuuuuu, so that makes the answer 1/2 right
OpenStudy (mathstudent55):
Be careful. Write it out.
(2x + 1)(2x + 1) = 0
2x + 1 = 0 or 2x + 1 = 0
Subtract 1 from both sides. What do you get?
OpenStudy (anonymous):
i got -1/2
OpenStudy (mathstudent55):
Better.
OpenStudy (anonymous):
oh 2x = -1
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OpenStudy (anonymous):
okay thank you
OpenStudy (mathstudent55):
right, so when you now divide both sides by 2 you get x = -1/2