x^2=x-19

Solution for x^2=x-19 equation:

Simplifying
x2 = x + -19

Reorder the terms:
x2 = -19 + x

Solving
x2 = -19 + x

Solving for variable 'x'.

Reorder the terms:
19 + -1x + x2 = -19 + x + 19 + -1x

Reorder the terms:
19 + -1x + x2 = -19 + 19 + x + -1x

Combine like terms: -19 + 19 = 0
19 + -1x + x2 = 0 + x + -1x
19 + -1x + x2 = x + -1x

Combine like terms: x + -1x = 0
19 + -1x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-19' to each side of the equation.
19 + -1x + -19 + x2 = 0 + -19

Reorder the terms:
19 + -19 + -1x + x2 = 0 + -19

Combine like terms: 19 + -19 = 0
0 + -1x + x2 = 0 + -19
-1x + x2 = 0 + -19

Combine like terms: 0 + -19 = -19
-1x + x2 = -19

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 = -19 + 0.25

Reorder the terms:
0.25 + -1x + x2 = -19 + 0.25

Combine like terms: -19 + 0.25 = -18.75
0.25 + -1x + x2 = -18.75

Factor a perfect square on the left side:
(x + -0.5)(x + -0.5) = -18.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.