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Simplifying
10n2 + 0n + -50 = 0
Anything times zero is zero.
10n2 + 0n + -50 = 0
Reorder the terms:
0 + -50 + 10n2 = 0
Combine like terms: 0 + -50 = -50
-50 + 10n2 = 0
Solving
-50 + 10n2 = 0
Solving for variable 'n'.
Move all terms containing n to the left, all other terms to the right.
Add '50' to each side of the equation.
-50 + 50 + 10n2 = 0 + 50
Combine like terms: -50 + 50 = 0
0 + 10n2 = 0 + 50
10n2 = 0 + 50
Combine like terms: 0 + 50 = 50
10n2 = 50
Divide each side by '10'.
n2 = 5
Simplifying
n2 = 5
Take the square root of each side:
n = {-2.236067978, 2.236067978}
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