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Simplifying
16n2 + 9 = 58
Reorder the terms:
9 + 16n2 = 58
Solving
9 + 16n2 = 58
Solving for variable 'n'.
Move all terms containing n to the left, all other terms to the right.
Add '-9' to each side of the equation.
9 + -9 + 16n2 = 58 + -9
Combine like terms: 9 + -9 = 0
0 + 16n2 = 58 + -9
16n2 = 58 + -9
Combine like terms: 58 + -9 = 49
16n2 = 49
Divide each side by '16'.
n2 = 3.0625
Simplifying
n2 = 3.0625
Take the square root of each side:
n = {-1.75, 1.75}
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