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Simplifying
3n2 + -10 = 182
Reorder the terms:
-10 + 3n2 = 182
Solving
-10 + 3n2 = 182
Solving for variable 'n'.
Move all terms containing n to the left, all other terms to the right.
Add '10' to each side of the equation.
-10 + 10 + 3n2 = 182 + 10
Combine like terms: -10 + 10 = 0
0 + 3n2 = 182 + 10
3n2 = 182 + 10
Combine like terms: 182 + 10 = 192
3n2 = 192
Divide each side by '3'.
n2 = 64
Simplifying
n2 = 64
Take the square root of each side:
n = {-8, 8}
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