-256=(X+-32)(X+-32)

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Solution for -256=(X+-32)(X+-32) equation:


Simplifying
-256 = (X + -32)(X + -32)

Reorder the terms:
-256 = (-32 + X)(X + -32)

Reorder the terms:
-256 = (-32 + X)(-32 + X)

Multiply (-32 + X) * (-32 + X)
-256 = (-32(-32 + X) + X(-32 + X))
-256 = ((-32 * -32 + X * -32) + X(-32 + X))
-256 = ((1024 + -32X) + X(-32 + X))
-256 = (1024 + -32X + (-32 * X + X * X))
-256 = (1024 + -32X + (-32X + X2))

Combine like terms: -32X + -32X = -64X
-256 = (1024 + -64X + X2)

Solving
-256 = 1024 + -64X + X2

Solving for variable 'X'.

Combine like terms: -256 + -1024 = -1280
-1280 + 64X + -1X2 = 1024 + -64X + X2 + -1024 + 64X + -1X2

Reorder the terms:
-1280 + 64X + -1X2 = 1024 + -1024 + -64X + 64X + X2 + -1X2

Combine like terms: 1024 + -1024 = 0
-1280 + 64X + -1X2 = 0 + -64X + 64X + X2 + -1X2
-1280 + 64X + -1X2 = -64X + 64X + X2 + -1X2

Combine like terms: -64X + 64X = 0
-1280 + 64X + -1X2 = 0 + X2 + -1X2
-1280 + 64X + -1X2 = X2 + -1X2

Combine like terms: X2 + -1X2 = 0
-1280 + 64X + -1X2 = 0

Begin completing the square.  Divide all terms by
-1 the coefficient of the squared term: 

Divide each side by '-1'.
1280 + -64X + X2 = 0

Move the constant term to the right:

Add '-1280' to each side of the equation.
1280 + -64X + -1280 + X2 = 0 + -1280

Reorder the terms:
1280 + -1280 + -64X + X2 = 0 + -1280

Combine like terms: 1280 + -1280 = 0
0 + -64X + X2 = 0 + -1280
-64X + X2 = 0 + -1280

Combine like terms: 0 + -1280 = -1280
-64X + X2 = -1280

The X term is -64X.  Take half its coefficient (-32).
Square it (1024) and add it to both sides.

Add '1024' to each side of the equation.
-64X + 1024 + X2 = -1280 + 1024

Reorder the terms:
1024 + -64X + X2 = -1280 + 1024

Combine like terms: -1280 + 1024 = -256
1024 + -64X + X2 = -256

Factor a perfect square on the left side:
(X + -32)(X + -32) = -256

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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