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1/4x^2+5/4x+1=0

 Nov 9, 2015
 #1
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+5

Solve for x:
x^2/4+(5 x)/4+1 = 0

The left hand side factors into a product with three terms:
1/4 (x+1) (x+4) = 0

Multiply both sides by 4:
(x+1) (x+4) = 0

Split into two equations:
x+1 = 0 or x+4 = 0

Subtract 1 from both sides:
x = -1 or x+4 = 0

Subtract 4 from both sides:
Answer: | 
| x = -1                  or x = -4

 Nov 9, 2015

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