-3v^2+7v-5=v^2+6v+2

Solution for -3v^2+7v-5=v^2+6v+2 equation:

Simplifying
-3v2 + 7v + -5 = v2 + 6v + 2

Reorder the terms:
-5 + 7v + -3v2 = v2 + 6v + 2

Reorder the terms:
-5 + 7v + -3v2 = 2 + 6v + v2

Solving
-5 + 7v + -3v2 = 2 + 6v + v2

Solving for variable 'v'.

Reorder the terms:
-5 + -2 + 7v + -6v + -3v2 + -1v2 = 2 + 6v + v2 + -2 + -6v + -1v2

Combine like terms: -5 + -2 = -7
-7 + 7v + -6v + -3v2 + -1v2 = 2 + 6v + v2 + -2 + -6v + -1v2

Combine like terms: 7v + -6v = 1v
-7 + 1v + -3v2 + -1v2 = 2 + 6v + v2 + -2 + -6v + -1v2

Combine like terms: -3v2 + -1v2 = -4v2
-7 + 1v + -4v2 = 2 + 6v + v2 + -2 + -6v + -1v2

Reorder the terms:
-7 + 1v + -4v2 = 2 + -2 + 6v + -6v + v2 + -1v2

Combine like terms: 2 + -2 = 0
-7 + 1v + -4v2 = 0 + 6v + -6v + v2 + -1v2
-7 + 1v + -4v2 = 6v + -6v + v2 + -1v2

Combine like terms: 6v + -6v = 0
-7 + 1v + -4v2 = 0 + v2 + -1v2
-7 + 1v + -4v2 = v2 + -1v2

Combine like terms: v2 + -1v2 = 0
-7 + 1v + -4v2 = 0

Begin completing the square.  Divide all terms by
-4 the coefficient of the squared term: 

Divide each side by '-4'.
1.75 + -0.25v + v2 = 0

Move the constant term to the right:

Add '-1.75' to each side of the equation.
1.75 + -0.25v + -1.75 + v2 = 0 + -1.75

Reorder the terms:
1.75 + -1.75 + -0.25v + v2 = 0 + -1.75

Combine like terms: 1.75 + -1.75 = 0.00
0.00 + -0.25v + v2 = 0 + -1.75
-0.25v + v2 = 0 + -1.75

Combine like terms: 0 + -1.75 = -1.75
-0.25v + v2 = -1.75

The v term is -0.25v.  Take half its coefficient (-0.125).
Square it (0.015625) and add it to both sides.

Add '0.015625' to each side of the equation.
-0.25v + 0.015625 + v2 = -1.75 + 0.015625

Reorder the terms:
0.015625 + -0.25v + v2 = -1.75 + 0.015625

Combine like terms: -1.75 + 0.015625 = -1.734375
0.015625 + -0.25v + v2 = -1.734375

Factor a perfect square on the left side:
(v + -0.125)(v + -0.125) = -1.734375

Can't calculate square root of the right side.

The solution to this equation could not be determined.