n*n=n-132

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Solution for n*n=n-132 equation:


Simplifying
n * n = n + -132

Multiply n * n
n2 = n + -132

Reorder the terms:
n2 = -132 + n

Solving
n2 = -132 + n

Solving for variable 'n'.

Reorder the terms:
132 + -1n + n2 = -132 + n + 132 + -1n

Reorder the terms:
132 + -1n + n2 = -132 + 132 + n + -1n

Combine like terms: -132 + 132 = 0
132 + -1n + n2 = 0 + n + -1n
132 + -1n + n2 = n + -1n

Combine like terms: n + -1n = 0
132 + -1n + n2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-132' to each side of the equation.
132 + -1n + -132 + n2 = 0 + -132

Reorder the terms:
132 + -132 + -1n + n2 = 0 + -132

Combine like terms: 132 + -132 = 0
0 + -1n + n2 = 0 + -132
-1n + n2 = 0 + -132

Combine like terms: 0 + -132 = -132
-1n + n2 = -132

The n term is -1n.  Take half its coefficient (-0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
-1n + 0.25 + n2 = -132 + 0.25

Reorder the terms:
0.25 + -1n + n2 = -132 + 0.25

Combine like terms: -132 + 0.25 = -131.75
0.25 + -1n + n2 = -131.75

Factor a perfect square on the left side:
(n + -0.5)(n + -0.5) = -131.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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