2v^2-4v+43=(v-6)

Solution for 2v^2-4v+43=(v-6) equation:

Simplifying
2v2 + -4v + 43 = (v + -6)

Reorder the terms:
43 + -4v + 2v2 = (v + -6)

Reorder the terms:
43 + -4v + 2v2 = (-6 + v)

Remove parenthesis around (-6 + v)
43 + -4v + 2v2 = -6 + v

Solving
43 + -4v + 2v2 = -6 + v

Solving for variable 'v'.

Reorder the terms:
43 + 6 + -4v + -1v + 2v2 = -6 + v + 6 + -1v

Combine like terms: 43 + 6 = 49
49 + -4v + -1v + 2v2 = -6 + v + 6 + -1v

Combine like terms: -4v + -1v = -5v
49 + -5v + 2v2 = -6 + v + 6 + -1v

Reorder the terms:
49 + -5v + 2v2 = -6 + 6 + v + -1v

Combine like terms: -6 + 6 = 0
49 + -5v + 2v2 = 0 + v + -1v
49 + -5v + 2v2 = v + -1v

Combine like terms: v + -1v = 0
49 + -5v + 2v2 = 0

Begin completing the square.  Divide all terms by
2 the coefficient of the squared term: 

Divide each side by '2'.
24.5 + -2.5v + v2 = 0

Move the constant term to the right:

Add '-24.5' to each side of the equation.
24.5 + -2.5v + -24.5 + v2 = 0 + -24.5

Reorder the terms:
24.5 + -24.5 + -2.5v + v2 = 0 + -24.5

Combine like terms: 24.5 + -24.5 = 0.0
0.0 + -2.5v + v2 = 0 + -24.5
-2.5v + v2 = 0 + -24.5

Combine like terms: 0 + -24.5 = -24.5
-2.5v + v2 = -24.5

The v term is -2.5v.  Take half its coefficient (-1.25).
Square it (1.5625) and add it to both sides.

Add '1.5625' to each side of the equation.
-2.5v + 1.5625 + v2 = -24.5 + 1.5625

Reorder the terms:
1.5625 + -2.5v + v2 = -24.5 + 1.5625

Combine like terms: -24.5 + 1.5625 = -22.9375
1.5625 + -2.5v + v2 = -22.9375

Factor a perfect square on the left side:
(v + -1.25)(v + -1.25) = -22.9375

Can't calculate square root of the right side.

The solution to this equation could not be determined.