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## Homework Statement

Solve the following equation:

## Homework Equations

[tex](x^2+6x+9)^2 +(x^2+4x+6)^2 = (x^2+8x+12)^2[/tex]

## The Attempt at a Solution

if we expand we will end up with an equation of 4th 3rd 2nd degree equation ,which will, if not impossible very difficult to solve.

Any ideas for easier way??

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