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4x^2+18x+8

 Apr 13, 2016
 #1
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-1

2(2x+1)(x+4)

 Apr 13, 2016
 #2
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Solve for x:
4 x^2+18 x+8 = 0

 

The left hand side factors into a product with three terms:
2 (x+4) (2 x+1) = 0

 

Divide both sides by 2:
(x+4) (2 x+1) = 0

 

Split into two equations:
x+4 = 0 or 2 x+1 = 0

 

Subtract 4 from both sides:
x = -4 or 2 x+1 = 0

 

Subtract 1 from both sides:
x = -4 or 2 x = -1

 

Divide both sides by 2:
Answer: |  x = -4      or       x = -1/2

 Apr 13, 2016

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