(x+0.5)(x+0.5)=-1.25

Solution for (x+0.5)(x+0.5)=-1.25 equation:

Simplifying
(x + 0.5)(x + 0.5) = -1.25

Reorder the terms:
(0.5 + x)(x + 0.5) = -1.25

Reorder the terms:
(0.5 + x)(0.5 + x) = -1.25

Multiply (0.5 + x) * (0.5 + x)
(0.5(0.5 + x) + x(0.5 + x)) = -1.25
((0.5 * 0.5 + x * 0.5) + x(0.5 + x)) = -1.25
((0.25 + 0.5x) + x(0.5 + x)) = -1.25
(0.25 + 0.5x + (0.5 * x + x * x)) = -1.25
(0.25 + 0.5x + (0.5x + x2)) = -1.25

Combine like terms: 0.5x + 0.5x = 1x
(0.25 + 1x + x2) = -1.25

Solving
0.25 + 1x + x2 = -1.25

Solving for variable 'x'.

Reorder the terms:
0.25 + 1.25 + 1x + x2 = -1.25 + 1.25

Combine like terms: 0.25 + 1.25 = 1.5
1.5 + 1x + x2 = -1.25 + 1.25

Combine like terms: -1.25 + 1.25 = 0.00
1.5 + 1x + x2 = 0.00

Begin completing the square.

Move the constant term to the right:

Add '-1.5' to each side of the equation.
1.5 + 1x + -1.5 + x2 = 0.00 + -1.5

Reorder the terms:
1.5 + -1.5 + 1x + x2 = 0.00 + -1.5

Combine like terms: 1.5 + -1.5 = 0.0
0.0 + 1x + x2 = 0.00 + -1.5
1x + x2 = 0.00 + -1.5

Combine like terms: 0.00 + -1.5 = -1.5
1x + x2 = -1.5

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.
x + 0.25 + x2 = -1.5 + 0.25

Reorder the terms:
0.25 + x + x2 = -1.5 + 0.25

Combine like terms: -1.5 + 0.25 = -1.25
0.25 + x + x2 = -1.25

Factor a perfect square on the left side:
(x + 0.5)(x + 0.5) = -1.25

Can't calculate square root of the right side.

The solution to this equation could not be determined.