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Simplifying
4n2 + 2 = 402
Reorder the terms:
2 + 4n2 = 402
Solving
2 + 4n2 = 402
Solving for variable 'n'.
Move all terms containing n to the left, all other terms to the right.
Add '-2' to each side of the equation.
2 + -2 + 4n2 = 402 + -2
Combine like terms: 2 + -2 = 0
0 + 4n2 = 402 + -2
4n2 = 402 + -2
Combine like terms: 402 + -2 = 400
4n2 = 400
Divide each side by '4'.
n2 = 100
Simplifying
n2 = 100
Take the square root of each side:
n = {-10, 10}
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