x(x+2)=-33

Solution for x(x+2)=-33 equation:

Simplifying
x(x + 2) = -33

Reorder the terms:
x(2 + x) = -33
(2 * x + x * x) = -33
(2x + x2) = -33

Solving
2x + x2 = -33

Solving for variable 'x'.

Reorder the terms:
33 + 2x + x2 = -33 + 33

Combine like terms: -33 + 33 = 0
33 + 2x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-33' to each side of the equation.
33 + 2x + -33 + x2 = 0 + -33

Reorder the terms:
33 + -33 + 2x + x2 = 0 + -33

Combine like terms: 33 + -33 = 0
0 + 2x + x2 = 0 + -33
2x + x2 = 0 + -33

Combine like terms: 0 + -33 = -33
2x + x2 = -33

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 = -33 + 1

Reorder the terms:
1 + 2x + x2 = -33 + 1

Combine like terms: -33 + 1 = -32
1 + 2x + x2 = -32

Factor a perfect square on the left side:
(x + 1)(x + 1) = -32

Can't calculate square root of the right side.

The solution to this equation could not be determined.