x(x+2)=-8

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Solution for x(x+2)=-8 equation: 


Simplifying
x(x + 2) = -8

Reorder the terms:
x(2 + x) = -8
(2 * x + x * x) = -8
(2x + x2) = -8

Solving
2x + x2 = -8

Solving for variable 'x'.

Reorder the terms:
8 + 2x + x2 = -8 + 8

Combine like terms: -8 + 8 = 0
8 + 2x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-8' to each side of the equation.
8 + 2x + -8 + x2 = 0 + -8

Reorder the terms:
8 + -8 + 2x + x2 = 0 + -8

Combine like terms: 8 + -8 = 0
0 + 2x + x2 = 0 + -8
2x + x2 = 0 + -8

Combine like terms: 0 + -8 = -8
2x + x2 = -8

The x term is 2x.  Take half its coefficient (1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
2x + 1 + x2 = -8 + 1

Reorder the terms:
1 + 2x + x2 = -8 + 1

Combine like terms: -8 + 1 = -7
1 + 2x + x2 = -7

Factor a perfect square on the left side:
(x + 1)(x + 1) = -7

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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