10n^2+8=198

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Solution for 10n^2+8=198 equation:


Simplifying
10n2 + 8 = 198

Reorder the terms:
8 + 10n2 = 198

Solving
8 + 10n2 = 198

Solving for variable 'n'.

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

Add '-8' to each side of the equation.
8 + -8 + 10n2 = 198 + -8

Combine like terms: 8 + -8 = 0
0 + 10n2 = 198 + -8
10n2 = 198 + -8

Combine like terms: 198 + -8 = 190
10n2 = 190

Divide each side by '10'.
n2 = 19

Simplifying
n2 = 19

Take the square root of each side:
n = {-4.358898944, 4.358898944}

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