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Simplifying
0 = n * -36n + 228
Reorder the terms for easier multiplication:
0 = -36n * n + 228
Multiply n * n
0 = -36n2 + 228
Reorder the terms:
0 = 228 + -36n2
Solving
0 = 228 + -36n2
Solving for variable 'n'.
Move all terms containing n to the left, all other terms to the right.
Add '36n2' to each side of the equation.
0 + 36n2 = 228 + -36n2 + 36n2
Remove the zero:
36n2 = 228 + -36n2 + 36n2
Combine like terms: -36n2 + 36n2 = 0
36n2 = 228 + 0
36n2 = 228
Divide each side by '36'.
n2 = 6.333333333
Simplifying
n2 = 6.333333333
Take the square root of each side:
n = {-2.516611478, 2.516611478}
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