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Simplifying
4n2 + 6 = 87
Reorder the terms:
6 + 4n2 = 87
Solving
6 + 4n2 = 87
Solving for variable 'n'.
Move all terms containing n to the left, all other terms to the right.
Add '-6' to each side of the equation.
6 + -6 + 4n2 = 87 + -6
Combine like terms: 6 + -6 = 0
0 + 4n2 = 87 + -6
4n2 = 87 + -6
Combine like terms: 87 + -6 = 81
4n2 = 81
Divide each side by '4'.
n2 = 20.25
Simplifying
n2 = 20.25
Take the square root of each side:
n = {-4.5, 4.5}
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