x^2=x-2(x+2)

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

Simplifying
x2 = x + -2(x + 2)

Reorder the terms:
x2 = x + -2(2 + x)
x2 = x + (2 * -2 + x * -2)
x2 = x + (-4 + -2x)

Reorder the terms:
x2 = -4 + x + -2x

Combine like terms: x + -2x = -1x
x2 = -4 + -1x

Solving
x2 = -4 + -1x

Solving for variable 'x'.

Reorder the terms:
4 + x + x2 = -4 + -1x + 4 + x

Reorder the terms:
4 + x + x2 = -4 + 4 + -1x + x

Combine like terms: -4 + 4 = 0
4 + x + x2 = 0 + -1x + x
4 + x + x2 = -1x + x

Combine like terms: -1x + x = 0
4 + x + x2 = 0

Begin completing the square.

Move the constant term to the right:

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

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

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

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

The x term is x.  Take half its coefficient (0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
x + 0.25 + x2 = -4 + 0.25

Reorder the terms:
0.25 + x + x2 = -4 + 0.25

Combine like terms: -4 + 0.25 = -3.75
0.25 + x + x2 = -3.75

Factor a perfect square on the left side:
(x + 0.5)(x + 0.5) = -3.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.