(8n^2)=(6n^2+7)

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Solution for (8n^2)=(6n^2+7) equation:


Simplifying
(8n2) = (6n2 + 7)

Reorder the terms:
(8n2) = (7 + 6n2)

Remove parenthesis around (7 + 6n2)
(8n2) = 7 + 6n2

Solving
(8n2) = 7 + 6n2

Solving for variable 'n'.

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

Add '-6n2' to each side of the equation.
(8n2) + -6n2 = 7 + 6n2 + -6n2

Combine like terms: (8n2) + -6n2 = 2n2
2n2 = 7 + 6n2 + -6n2

Combine like terms: 6n2 + -6n2 = 0
2n2 = 7 + 0
2n2 = 7

Divide each side by '2'.
n2 = 3.5

Simplifying
n2 = 3.5

Take the square root of each side:
n = {-1.870828693, 1.870828693}

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