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Simplifying
50 = n * 3n
Reorder the terms for easier multiplication:
50 = 3n * n
Multiply n * n
50 = 3n2
Solving
50 = 3n2
Solving for variable 'n'.
Move all terms containing n to the left, all other terms to the right.
Add '-3n2' to each side of the equation.
50 + -3n2 = 3n2 + -3n2
Combine like terms: 3n2 + -3n2 = 0
50 + -3n2 = 0
Add '-50' to each side of the equation.
50 + -50 + -3n2 = 0 + -50
Combine like terms: 50 + -50 = 0
0 + -3n2 = 0 + -50
-3n2 = 0 + -50
Combine like terms: 0 + -50 = -50
-3n2 = -50
Divide each side by '-3'.
n2 = 16.66666667
Simplifying
n2 = 16.66666667
Take the square root of each side:
n = {-4.082482905, 4.082482905}
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