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Simplifying
6400 = n(1.9n)
Remove parenthesis around (1.9n)
6400 = n * 1.9n
Reorder the terms for easier multiplication:
6400 = 1.9n * n
Multiply n * n
6400 = 1.9n2
Solving
6400 = 1.9n2
Solving for variable 'n'.
Move all terms containing n to the left, all other terms to the right.
Add '-1.9n2' to each side of the equation.
6400 + -1.9n2 = 1.9n2 + -1.9n2
Combine like terms: 1.9n2 + -1.9n2 = 0.0
6400 + -1.9n2 = 0.0
Add '-6400' to each side of the equation.
6400 + -6400 + -1.9n2 = 0.0 + -6400
Combine like terms: 6400 + -6400 = 0
0 + -1.9n2 = 0.0 + -6400
-1.9n2 = 0.0 + -6400
Combine like terms: 0.0 + -6400 = -6400
-1.9n2 = -6400
Divide each side by '-1.9'.
n2 = 3368.421053
Simplifying
n2 = 3368.421053
Take the square root of each side:
n = {-58.038100012, 58.038100012}
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