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Simplifying
2000 = n(5n)
Remove parenthesis around (5n)
2000 = n * 5n
Reorder the terms for easier multiplication:
2000 = 5n * n
Multiply n * n
2000 = 5n2
Solving
2000 = 5n2
Solving for variable 'n'.
Move all terms containing n to the left, all other terms to the right.
Add '-5n2' to each side of the equation.
2000 + -5n2 = 5n2 + -5n2
Combine like terms: 5n2 + -5n2 = 0
2000 + -5n2 = 0
Add '-2000' to each side of the equation.
2000 + -2000 + -5n2 = 0 + -2000
Combine like terms: 2000 + -2000 = 0
0 + -5n2 = 0 + -2000
-5n2 = 0 + -2000
Combine like terms: 0 + -2000 = -2000
-5n2 = -2000
Divide each side by '-5'.
n2 = 400
Simplifying
n2 = 400
Take the square root of each side:
n = {-20, 20}
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