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Simplifying
6n2 + -25 + 24 = 0
Reorder the terms:
-25 + 24 + 6n2 = 0
Combine like terms: -25 + 24 = -1
-1 + 6n2 = 0
Solving
-1 + 6n2 = 0
Solving for variable 'n'.
Move all terms containing n to the left, all other terms to the right.
Add '1' to each side of the equation.
-1 + 1 + 6n2 = 0 + 1
Combine like terms: -1 + 1 = 0
0 + 6n2 = 0 + 1
6n2 = 0 + 1
Combine like terms: 0 + 1 = 1
6n2 = 1
Divide each side by '6'.
n2 = 0.1666666667
Simplifying
n2 = 0.1666666667
Take the square root of each side:
n = {-0.408248291, 0.408248291}
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