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Simplifying
4n2 + -100 = 0
Reorder the terms:
-100 + 4n2 = 0
Solving
-100 + 4n2 = 0
Solving for variable 'n'.
Move all terms containing n to the left, all other terms to the right.
Add '100' to each side of the equation.
-100 + 100 + 4n2 = 0 + 100
Combine like terms: -100 + 100 = 0
0 + 4n2 = 0 + 100
4n2 = 0 + 100
Combine like terms: 0 + 100 = 100
4n2 = 100
Divide each side by '4'.
n2 = 25
Simplifying
n2 = 25
Take the square root of each side:
n = {-5, 5}
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