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Simplifying
7n * -11n + 4 = 0
Reorder the terms for easier multiplication:
7 * -11n * n + 4 = 0
Multiply 7 * -11
-77n * n + 4 = 0
Multiply n * n
-77n2 + 4 = 0
Reorder the terms:
4 + -77n2 = 0
Solving
4 + -77n2 = 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 + -77n2 = 0 + -4
Combine like terms: 4 + -4 = 0
0 + -77n2 = 0 + -4
-77n2 = 0 + -4
Combine like terms: 0 + -4 = -4
-77n2 = -4
Divide each side by '-77'.
n2 = 0.05194805195
Simplifying
n2 = 0.05194805195
Take the square root of each side:
n = {-0.227921153, 0.227921153}
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