((v)+0.5)((v)+0.5)=-1.25

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

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

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

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

Multiply (0.5 + v) * (0.5 + v)
(0.5(0.5 + v) + v(0.5 + v)) = -1.25
((0.5 * 0.5 + v * 0.5) + v(0.5 + v)) = -1.25
((0.25 + 0.5v) + v(0.5 + v)) = -1.25
(0.25 + 0.5v + (0.5 * v + v * v)) = -1.25
(0.25 + 0.5v + (0.5v + v2)) = -1.25

Combine like terms: 0.5v + 0.5v = 1v
(0.25 + 1v + v2) = -1.25

Solving
0.25 + 1v + v2 = -1.25

Solving for variable 'v'.

Reorder the terms:
0.25 + 1.25 + 1v + v2 = -1.25 + 1.25

Combine like terms: 0.25 + 1.25 = 1.5
1.5 + 1v + v2 = -1.25 + 1.25

Combine like terms: -1.25 + 1.25 = 0.00
1.5 + 1v + v2 = 0.00

Begin completing the square.

Move the constant term to the right:

Add '-1.5' to each side of the equation.
1.5 + 1v + -1.5 + v2 = 0.00 + -1.5

Reorder the terms:
1.5 + -1.5 + 1v + v2 = 0.00 + -1.5

Combine like terms: 1.5 + -1.5 = 0.0
0.0 + 1v + v2 = 0.00 + -1.5
1v + v2 = 0.00 + -1.5

Combine like terms: 0.00 + -1.5 = -1.5
1v + v2 = -1.5

The v term is 1v.  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.
v + 0.25 + v2 = -1.5 + 0.25

Reorder the terms:
0.25 + v + v2 = -1.5 + 0.25

Combine like terms: -1.5 + 0.25 = -1.25
0.25 + v + v2 = -1.25

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

Can't calculate square root of the right side.

The solution to this equation could not be determined.