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Simplifying
36n2 + 0n + -16 = 0
Anything times zero is zero.
36n2 + 0n + -16 = 0
Reorder the terms:
0 + -16 + 36n2 = 0
Combine like terms: 0 + -16 = -16
-16 + 36n2 = 0
Solving
-16 + 36n2 = 0
Solving for variable 'n'.
Move all terms containing n to the left, all other terms to the right.
Add '16' to each side of the equation.
-16 + 16 + 36n2 = 0 + 16
Combine like terms: -16 + 16 = 0
0 + 36n2 = 0 + 16
36n2 = 0 + 16
Combine like terms: 0 + 16 = 16
36n2 = 16
Divide each side by '36'.
n2 = 0.4444444444
Simplifying
n2 = 0.4444444444
Take the square root of each side:
n = {-0.666666667, 0.666666667}
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