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Simplifying
7n2 = 4n2 + 432
Reorder the terms:
7n2 = 432 + 4n2
Solving
7n2 = 432 + 4n2
Solving for variable 'n'.
Move all terms containing n to the left, all other terms to the right.
Add '-4n2' to each side of the equation.
7n2 + -4n2 = 432 + 4n2 + -4n2
Combine like terms: 7n2 + -4n2 = 3n2
3n2 = 432 + 4n2 + -4n2
Combine like terms: 4n2 + -4n2 = 0
3n2 = 432 + 0
3n2 = 432
Divide each side by '3'.
n2 = 144
Simplifying
n2 = 144
Take the square root of each side:
n = {-12, 12}
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