(x-0.5)(x-0.5)+1.561=0

Solution for (x-0.5)(x-0.5)+1.561=0 equation:

Simplifying
(x + -0.5)(x + -0.5) + 1.561 = 0

Reorder the terms:
(-0.5 + x)(x + -0.5) + 1.561 = 0

Reorder the terms:
(-0.5 + x)(-0.5 + x) + 1.561 = 0

Multiply (-0.5 + x) * (-0.5 + x)
(-0.5(-0.5 + x) + x(-0.5 + x)) + 1.561 = 0
((-0.5 * -0.5 + x * -0.5) + x(-0.5 + x)) + 1.561 = 0
((0.25 + -0.5x) + x(-0.5 + x)) + 1.561 = 0
(0.25 + -0.5x + (-0.5 * x + x * x)) + 1.561 = 0
(0.25 + -0.5x + (-0.5x + x2)) + 1.561 = 0

Combine like terms: -0.5x + -0.5x = -1x
(0.25 + -1x + x2) + 1.561 = 0

Reorder the terms:
0.25 + 1.561 + -1x + x2 = 0

Combine like terms: 0.25 + 1.561 = 1.811
1.811 + -1x + x2 = 0

Solving
1.811 + -1x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-1.811' to each side of the equation.
1.811 + -1x + -1.811 + x2 = 0 + -1.811

Reorder the terms:
1.811 + -1.811 + -1x + x2 = 0 + -1.811

Combine like terms: 1.811 + -1.811 = 0.000
0.000 + -1x + x2 = 0 + -1.811
-1x + x2 = 0 + -1.811

Combine like terms: 0 + -1.811 = -1.811
-1x + x2 = -1.811

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 = -1.811 + 0.25

Reorder the terms:
0.25 + -1x + x2 = -1.811 + 0.25

Combine like terms: -1.811 + 0.25 = -1.561
0.25 + -1x + x2 = -1.561

Factor a perfect square on the left side:
(x + -0.5)(x + -0.5) = -1.561

Can't calculate square root of the right side.

The solution to this equation could not be determined.