5n^2-7=488

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Solution for 5n^2-7=488 equation:


Simplifying
5n2 + -7 = 488

Reorder the terms:
-7 + 5n2 = 488

Solving
-7 + 5n2 = 488

Solving for variable 'n'.

Move all terms containing n to the left, all other terms to the right.

Add '7' to each side of the equation.
-7 + 7 + 5n2 = 488 + 7

Combine like terms: -7 + 7 = 0
0 + 5n2 = 488 + 7
5n2 = 488 + 7

Combine like terms: 488 + 7 = 495
5n2 = 495

Divide each side by '5'.
n2 = 99

Simplifying
n2 = 99

Take the square root of each side:
n = {-9.949874371, 9.949874371}

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