Answer
The solution set is $\left\{-\sqrt{11}, \sqrt{11}\right\}$.
Work Step by Step
Add 55 to both sides:
$5x^2-55+55=0+55
\\5x^2=55$
Divide 5 to both sides:
$x^2 = 11$
Get the square root of both sides:
$x= \pm \sqrt{11}$
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