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Simplifying
5n2 + 1 = 126
Reorder the terms:
1 + 5n2 = 126
Solving
1 + 5n2 = 126
Solving for variable 'n'.
Move all terms containing n to the left, all other terms to the right.
Add '-1' to each side of the equation.
1 + -1 + 5n2 = 126 + -1
Combine like terms: 1 + -1 = 0
0 + 5n2 = 126 + -1
5n2 = 126 + -1
Combine like terms: 126 + -1 = 125
5n2 = 125
Divide each side by '5'.
n2 = 25
Simplifying
n2 = 25
Take the square root of each side:
n = {-5, 5}
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