x(x+3)=x-22

Solution for x(x+3)=x-22 equation:

Simplifying
x(x + 3) = x + -22

Reorder the terms:
x(3 + x) = x + -22
(3 * x + x * x) = x + -22
(3x + x2) = x + -22

Reorder the terms:
3x + x2 = -22 + x

Solving
3x + x2 = -22 + x

Solving for variable 'x'.

Reorder the terms:
22 + 3x + -1x + x2 = -22 + x + 22 + -1x

Combine like terms: 3x + -1x = 2x
22 + 2x + x2 = -22 + x + 22 + -1x

Reorder the terms:
22 + 2x + x2 = -22 + 22 + x + -1x

Combine like terms: -22 + 22 = 0
22 + 2x + x2 = 0 + x + -1x
22 + 2x + x2 = x + -1x

Combine like terms: x + -1x = 0
22 + 2x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-22' to each side of the equation.
22 + 2x + -22 + x2 = 0 + -22

Reorder the terms:
22 + -22 + 2x + x2 = 0 + -22

Combine like terms: 22 + -22 = 0
0 + 2x + x2 = 0 + -22
2x + x2 = 0 + -22

Combine like terms: 0 + -22 = -22
2x + x2 = -22

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 = -22 + 1

Reorder the terms:
1 + 2x + x2 = -22 + 1

Combine like terms: -22 + 1 = -21
1 + 2x + x2 = -21

Factor a perfect square on the left side:
(x + 1)(x + 1) = -21

Can't calculate square root of the right side.

The solution to this equation could not be determined.