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Simplifying
5n2 + 20 = 200
Reorder the terms:
20 + 5n2 = 200
Solving
20 + 5n2 = 200
Solving for variable 'n'.
Move all terms containing n to the left, all other terms to the right.
Add '-20' to each side of the equation.
20 + -20 + 5n2 = 200 + -20
Combine like terms: 20 + -20 = 0
0 + 5n2 = 200 + -20
5n2 = 200 + -20
Combine like terms: 200 + -20 = 180
5n2 = 180
Divide each side by '5'.
n2 = 36
Simplifying
n2 = 36
Take the square root of each side:
n = {-6, 6}
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