8n^2-10=-7

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Solution for 8n^2-10=-7 equation: 


Simplifying
8n2 + -10 = -7

Reorder the terms:
-10 + 8n2 = -7

Solving
-10 + 8n2 = -7

Solving for variable 'n'.

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

Add '10' to each side of the equation.
-10 + 10 + 8n2 = -7 + 10

Combine like terms: -10 + 10 = 0
0 + 8n2 = -7 + 10
8n2 = -7 + 10

Combine like terms: -7 + 10 = 3
8n2 = 3

Divide each side by '8'.
n2 = 0.375

Simplifying
n2 = 0.375

Take the square root of each side:
n = {-0.612372436, 0.612372436}

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