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Simplifying
7n2 + -36 + 32 = 0
Reorder the terms:
-36 + 32 + 7n2 = 0
Combine like terms: -36 + 32 = -4
-4 + 7n2 = 0
Solving
-4 + 7n2 = 0
Solving for variable 'n'.
Move all terms containing n to the left, all other terms to the right.
Add '4' to each side of the equation.
-4 + 4 + 7n2 = 0 + 4
Combine like terms: -4 + 4 = 0
0 + 7n2 = 0 + 4
7n2 = 0 + 4
Combine like terms: 0 + 4 = 4
7n2 = 4
Divide each side by '7'.
n2 = 0.5714285714
Simplifying
n2 = 0.5714285714
Take the square root of each side:
n = {-0.755928946, 0.755928946}
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