Solve for n
n=-14
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n-49=\left(\sqrt{3n-21}\right)^{2}
Calculate 7 to the power of 2 and get 49.
n-49=3n-21
Calculate \sqrt{3n-21} to the power of 2 and get 3n-21.
n-49-3n=-21
Subtract 3n from both sides.
-2n-49=-21
Combine n and -3n to get -2n.
-2n=-21+49
Add 49 to both sides.
-2n=28
Add -21 and 49 to get 28.
n=\frac{28}{-2}
Divide both sides by -2.
n=-14
Divide 28 by -2 to get -14.
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