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8x%(8+x)=4 help me plz

 Apr 5, 2016
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Solve for x:
2/25 x (x+8) = 4

 

Multiply both sides by 25/2:
x (x+8) = 50

 

Expand out terms of the left hand side:
x^2+8 x = 50

 

Add 16 to both sides:
x^2+8 x+16 = 66

 

Write the left hand side as a square:
(x+4)^2 = 66

 

Take the square root of both sides:
x+4 = sqrt(66) or x+4 = -sqrt(66)

 

Subtract 4 from both sides:
x = sqrt(66)-4 or x+4 = -sqrt(66)

 

Subtract 4 from both sides:
Answer: |  x = sqrt(66)-4     or       x = -4-sqrt(66)

 Apr 5, 2016

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