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Simplifying
5n2 + 9 = 294
Reorder the terms:
9 + 5n2 = 294
Solving
9 + 5n2 = 294
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 + 5n2 = 294 + -9
Combine like terms: 9 + -9 = 0
0 + 5n2 = 294 + -9
5n2 = 294 + -9
Combine like terms: 294 + -9 = 285
5n2 = 285
Divide each side by '5'.
n2 = 57
Simplifying
n2 = 57
Take the square root of each side:
n = {-7.549834435, 7.549834435}
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