x^2+4=x-1

Solution for x^2+4=x-1 equation:

Simplifying
x2 + 4 = x + -1

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

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

Solving
4 + x2 = -1 + x

Solving for variable 'x'.

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

Combine like terms: 4 + 1 = 5
5 + -1x + x2 = -1 + x + 1 + -1x

Reorder the terms:
5 + -1x + x2 = -1 + 1 + x + -1x

Combine like terms: -1 + 1 = 0
5 + -1x + x2 = 0 + x + -1x
5 + -1x + x2 = x + -1x

Combine like terms: x + -1x = 0
5 + -1x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-5' to each side of the equation.
5 + -1x + -5 + x2 = 0 + -5

Reorder the terms:
5 + -5 + -1x + x2 = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1x + x2 = 0 + -5
-1x + x2 = 0 + -5

Combine like terms: 0 + -5 = -5
-1x + x2 = -5

The x term is -1x.  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.
-1x + 0.25 + x2 = -5 + 0.25

Reorder the terms:
0.25 + -1x + x2 = -5 + 0.25

Combine like terms: -5 + 0.25 = -4.75
0.25 + -1x + x2 = -4.75

Factor a perfect square on the left side:
(x + -0.5)(x + -0.5) = -4.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.