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Simplifying
(36)(n2) + -1(81) = 0
Multiply -1 * 81
36n2 + -81 = 0
Reorder the terms:
-81 + 36n2 = 0
Solving
-81 + 36n2 = 0
Solving for variable 'n'.
Move all terms containing n to the left, all other terms to the right.
Add '81' to each side of the equation.
-81 + 81 + 36n2 = 0 + 81
Combine like terms: -81 + 81 = 0
0 + 36n2 = 0 + 81
36n2 = 0 + 81
Combine like terms: 0 + 81 = 81
36n2 = 81
Divide each side by '36'.
n2 = 2.25
Simplifying
n2 = 2.25
Take the square root of each side:
n = {-1.5, 1.5}
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