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Simplifying
4n2 + 3 = 52
Reorder the terms:
3 + 4n2 = 52
Solving
3 + 4n2 = 52
Solving for variable 'n'.
Move all terms containing n to the left, all other terms to the right.
Add '-3' to each side of the equation.
3 + -3 + 4n2 = 52 + -3
Combine like terms: 3 + -3 = 0
0 + 4n2 = 52 + -3
4n2 = 52 + -3
Combine like terms: 52 + -3 = 49
4n2 = 49
Divide each side by '4'.
n2 = 12.25
Simplifying
n2 = 12.25
Take the square root of each side:
n = {-3.5, 3.5}
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