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Simplifying
3n2 + 10 = 102
Reorder the terms:
10 + 3n2 = 102
Solving
10 + 3n2 = 102
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 = 102 + -10
Combine like terms: 10 + -10 = 0
0 + 3n2 = 102 + -10
3n2 = 102 + -10
Combine like terms: 102 + -10 = 92
3n2 = 92
Divide each side by '3'.
n2 = 30.66666667
Simplifying
n2 = 30.66666667
Take the square root of each side:
n = {-5.537749242, 5.537749242}
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