10n^2+2=1002

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Solution for 10n^2+2=1002 equation:


Simplifying
10n2 + 2 = 1002

Reorder the terms:
2 + 10n2 = 1002

Solving
2 + 10n2 = 1002

Solving for variable 'n'.

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

Add '-2' to each side of the equation.
2 + -2 + 10n2 = 1002 + -2

Combine like terms: 2 + -2 = 0
0 + 10n2 = 1002 + -2
10n2 = 1002 + -2

Combine like terms: 1002 + -2 = 1000
10n2 = 1000

Divide each side by '10'.
n2 = 100

Simplifying
n2 = 100

Take the square root of each side:
n = {-10, 10}

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