x(x+4)=-8

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Solution for x(x+4)=-8 equation: 


Simplifying
x(x + 4) = -8

Reorder the terms:
x(4 + x) = -8
(4 * x + x * x) = -8
(4x + x2) = -8

Solving
4x + x2 = -8

Solving for variable 'x'.

Reorder the terms:
8 + 4x + x2 = -8 + 8

Combine like terms: -8 + 8 = 0
8 + 4x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-8' to each side of the equation.
8 + 4x + -8 + x2 = 0 + -8

Reorder the terms:
8 + -8 + 4x + x2 = 0 + -8

Combine like terms: 8 + -8 = 0
0 + 4x + x2 = 0 + -8
4x + x2 = 0 + -8

Combine like terms: 0 + -8 = -8
4x + x2 = -8

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 = -8 + 4

Reorder the terms:
4 + 4x + x2 = -8 + 4

Combine like terms: -8 + 4 = -4
4 + 4x + x2 = -4

Factor a perfect square on the left side:
(x + 2)(x + 2) = -4

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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