n-7=n(7)whatisn

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Solution for n-7=n(7)whatisn equation: 


Simplifying
n + -7 = n(7) * whatisn

Reorder the terms:
-7 + n = n(7) * whatisn

Reorder the terms for easier multiplication:
-7 + n = 7n * ahinstw

Multiply n * ahinstw
-7 + n = 7ahin2stw

Solving
-7 + n = 7ahin2stw

Solving for variable 'n'.

Reorder the terms:
-7 + -7ahin2stw + n = 7ahin2stw + -7ahin2stw

Combine like terms: 7ahin2stw + -7ahin2stw = 0
-7 + -7ahin2stw + n = 0

Begin completing the square.  Divide all terms by
-7ahistw the coefficient of the squared term: 

Divide each side by '-7ahistw'.
a-1h-1i-1s-1t-1w-1 + n2 + -0.1428571429a-1h-1i-1ns-1t-1w-1 = 0a-1h-1i-1s-1t-1w-1

Move the constant term to the right:

Add '-1' to each side of the equation.
a-1h-1i-1s-1t-1w-1 + n2 + -1 + -0.1428571429a-1h-1i-1ns-1t-1w-1 = -1 + 0a-1h-1i-1s-1t-1w-1

Reorder the terms:
-1 + -0.1428571429a-1h-1i-1ns-1t-1w-1 + a-1h-1i-1s-1t-1w-1 + n2 = -1 + 0a-1h-1i-1s-1t-1w-1

Combine like terms: -1 + 0 = -1
-1 + -0.1428571429a-1h-1i-1ns-1t-1w-1 + a-1h-1i-1s-1t-1w-1 + n2 = -1

The n term is a-1h-1i-1ns-1t-1w-1.  Take half its coefficient (0.5a-1h-1i-1s-1t-1w-1).
Square it (0.25a-2h-2i-2s-2t-2w-2) and add it to both sides.

Add '0.25a-2h-2i-2s-2t-2w-2' to each side of the equation.
-1 + -0.1428571429a-1h-1i-1ns-1t-1w-1 + a-1h-1i-1s-1t-1w-1 + 0.25a-2h-2i-2s-2t-2w-2 + n2 = -1 + 0.25a-2h-2i-2s-2t-2w-2

Reorder the terms:
-1 + 0.25a-2h-2i-2s-2t-2w-2 + -0.1428571429a-1h-1i-1ns-1t-1w-1 + a-1h-1i-1s-1t-1w-1 + n2 = -1 + 0.25a-2h-2i-2s-2t-2w-2

Factor a perfect square on the left side:
(n + 0.5a-1h-1i-1s-1t-1w-1)(n + 0.5a-1h-1i-1s-1t-1w-1) = -1 + 0.25a-2h-2i-2s-2t-2w-2

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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