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Simplifying
5n2 + 7 = 407
Reorder the terms:
7 + 5n2 = 407
Solving
7 + 5n2 = 407
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 + 5n2 = 407 + -7
Combine like terms: 7 + -7 = 0
0 + 5n2 = 407 + -7
5n2 = 407 + -7
Combine like terms: 407 + -7 = 400
5n2 = 400
Divide each side by '5'.
n2 = 80
Simplifying
n2 = 80
Take the square root of each side:
n = {-8.94427191, 8.94427191}
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