v^2-v+45=0

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Solution for v^2-v+45=0 equation:


Simplifying
v2 + -1v + 45 = 0

Reorder the terms:
45 + -1v + v2 = 0

Solving
45 + -1v + v2 = 0

Solving for variable 'v'.

Begin completing the square.

Move the constant term to the right:

Add '-45' to each side of the equation.
45 + -1v + -45 + v2 = 0 + -45

Reorder the terms:
45 + -45 + -1v + v2 = 0 + -45

Combine like terms: 45 + -45 = 0
0 + -1v + v2 = 0 + -45
-1v + v2 = 0 + -45

Combine like terms: 0 + -45 = -45
-1v + v2 = -45

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.
-1v + 0.25 + v2 = -45 + 0.25

Reorder the terms:
0.25 + -1v + v2 = -45 + 0.25

Combine like terms: -45 + 0.25 = -44.75
0.25 + -1v + v2 = -44.75

Factor a perfect square on the left side:
(v + -0.5)(v + -0.5) = -44.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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