x^2+12x=-1280

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Solution for x^2+12x=-1280 equation:


Simplifying
x2 + 12x = -1280

Reorder the terms:
12x + x2 = -1280

Solving
12x + x2 = -1280

Solving for variable 'x'.

Reorder the terms:
1280 + 12x + x2 = -1280 + 1280

Combine like terms: -1280 + 1280 = 0
1280 + 12x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-1280' to each side of the equation.
1280 + 12x + -1280 + x2 = 0 + -1280

Reorder the terms:
1280 + -1280 + 12x + x2 = 0 + -1280

Combine like terms: 1280 + -1280 = 0
0 + 12x + x2 = 0 + -1280
12x + x2 = 0 + -1280

Combine like terms: 0 + -1280 = -1280
12x + x2 = -1280

The x term is 12x.  Take half its coefficient (6).
Square it (36) and add it to both sides.

Add '36' to each side of the equation.
12x + 36 + x2 = -1280 + 36

Reorder the terms:
36 + 12x + x2 = -1280 + 36

Combine like terms: -1280 + 36 = -1244
36 + 12x + x2 = -1244

Factor a perfect square on the left side:
(x + 6)(x + 6) = -1244

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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