x^2+4x=-16

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Solution for x^2+4x=-16 equation:


Simplifying
x2 + 4x = -16

Reorder the terms:
4x + x2 = -16

Solving
4x + x2 = -16

Solving for variable 'x'.

Reorder the terms:
16 + 4x + x2 = -16 + 16

Combine like terms: -16 + 16 = 0
16 + 4x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-16' to each side of the equation.
16 + 4x + -16 + x2 = 0 + -16

Reorder the terms:
16 + -16 + 4x + x2 = 0 + -16

Combine like terms: 16 + -16 = 0
0 + 4x + x2 = 0 + -16
4x + x2 = 0 + -16

Combine like terms: 0 + -16 = -16
4x + x2 = -16

The x term is 4x.  Take half its coefficient (2).
Square it (4) and add it to both sides.

Add '4' to each side of the equation.
4x + 4 + x2 = -16 + 4

Reorder the terms:
4 + 4x + x2 = -16 + 4

Combine like terms: -16 + 4 = -12
4 + 4x + x2 = -12

Factor a perfect square on the left side:
(x + 2)(x + 2) = -12

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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