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Simplifying
5n2 + -7 = 178
Reorder the terms:
-7 + 5n2 = 178
Solving
-7 + 5n2 = 178
Solving for variable 'n'.
Move all terms containing n to the left, all other terms to the right.
Add '7' to each side of the equation.
-7 + 7 + 5n2 = 178 + 7
Combine like terms: -7 + 7 = 0
0 + 5n2 = 178 + 7
5n2 = 178 + 7
Combine like terms: 178 + 7 = 185
5n2 = 185
Divide each side by '5'.
n2 = 37
Simplifying
n2 = 37
Take the square root of each side:
n = {-6.08276253, 6.08276253}
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