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Simplifying
4n2 + -7 = 249
Reorder the terms:
-7 + 4n2 = 249
Solving
-7 + 4n2 = 249
Solving for variable 'n'.
Move all terms containing n to the left, all other terms to the right.
Add '7' to each side of the equation.
-7 + 7 + 4n2 = 249 + 7
Combine like terms: -7 + 7 = 0
0 + 4n2 = 249 + 7
4n2 = 249 + 7
Combine like terms: 249 + 7 = 256
4n2 = 256
Divide each side by '4'.
n2 = 64
Simplifying
n2 = 64
Take the square root of each side:
n = {-8, 8}
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