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Simplifying
9n2 + -25 = 0
Reorder the terms:
-25 + 9n2 = 0
Solving
-25 + 9n2 = 0
Solving for variable 'n'.
Move all terms containing n to the left, all other terms to the right.
Add '25' to each side of the equation.
-25 + 25 + 9n2 = 0 + 25
Combine like terms: -25 + 25 = 0
0 + 9n2 = 0 + 25
9n2 = 0 + 25
Combine like terms: 0 + 25 = 25
9n2 = 25
Divide each side by '9'.
n2 = 2.777777778
Simplifying
n2 = 2.777777778
Take the square root of each side:
n = {-1.666666667, 1.666666667}
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