v^2-4v+57=-5

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Solution for v^2-4v+57=-5 equation: 


Simplifying
v2 + -4v + 57 = -5

Reorder the terms:
57 + -4v + v2 = -5

Solving
57 + -4v + v2 = -5

Solving for variable 'v'.

Reorder the terms:
57 + 5 + -4v + v2 = -5 + 5

Combine like terms: 57 + 5 = 62
62 + -4v + v2 = -5 + 5

Combine like terms: -5 + 5 = 0
62 + -4v + v2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-62' to each side of the equation.
62 + -4v + -62 + v2 = 0 + -62

Reorder the terms:
62 + -62 + -4v + v2 = 0 + -62

Combine like terms: 62 + -62 = 0
0 + -4v + v2 = 0 + -62
-4v + v2 = 0 + -62

Combine like terms: 0 + -62 = -62
-4v + v2 = -62

The v term is -4v.  Take half its coefficient (-2).
Square it (4) and add it to both sides.

Add '4' to each side of the equation.
-4v + 4 + v2 = -62 + 4

Reorder the terms:
4 + -4v + v2 = -62 + 4

Combine like terms: -62 + 4 = -58
4 + -4v + v2 = -58

Factor a perfect square on the left side:
(v + -2)(v + -2) = -58

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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