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Simplifying
2n2 + -4n * 5n + -10n2 + 4 = 0
Reorder the terms for easier multiplication:
2n2 + -4 * 5n * n + -10n2 + 4 = 0
Multiply -4 * 5
2n2 + -20n * n + -10n2 + 4 = 0
Multiply n * n
2n2 + -20n2 + -10n2 + 4 = 0
Reorder the terms:
4 + 2n2 + -20n2 + -10n2 = 0
Combine like terms: 2n2 + -20n2 = -18n2
4 + -18n2 + -10n2 = 0
Combine like terms: -18n2 + -10n2 = -28n2
4 + -28n2 = 0
Solving
4 + -28n2 = 0
Solving for variable 'n'.
Move all terms containing n to the left, all other terms to the right.
Add '-4' to each side of the equation.
4 + -4 + -28n2 = 0 + -4
Combine like terms: 4 + -4 = 0
0 + -28n2 = 0 + -4
-28n2 = 0 + -4
Combine like terms: 0 + -4 = -4
-28n2 = -4
Divide each side by '-28'.
n2 = 0.1428571429
Simplifying
n2 = 0.1428571429
Take the square root of each side:
n = {-0.377964473, 0.377964473}
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