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Simplifying
(4n2 + 2) + -25 = 0
Reorder the terms:
(2 + 4n2) + -25 = 0
Remove parenthesis around (2 + 4n2)
2 + 4n2 + -25 = 0
Reorder the terms:
2 + -25 + 4n2 = 0
Combine like terms: 2 + -25 = -23
-23 + 4n2 = 0
Solving
-23 + 4n2 = 0
Solving for variable 'n'.
Move all terms containing n to the left, all other terms to the right.
Add '23' to each side of the equation.
-23 + 23 + 4n2 = 0 + 23
Combine like terms: -23 + 23 = 0
0 + 4n2 = 0 + 23
4n2 = 0 + 23
Combine like terms: 0 + 23 = 23
4n2 = 23
Divide each side by '4'.
n2 = 5.75
Simplifying
n2 = 5.75
Take the square root of each side:
n = {-2.397915762, 2.397915762}
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