v^2-25=2v^2-8v+17

Solution for v^2-25=2v^2-8v+17 equation:

Simplifying
v2 + -25 = 2v2 + -8v + 17

Reorder the terms:
-25 + v2 = 2v2 + -8v + 17

Reorder the terms:
-25 + v2 = 17 + -8v + 2v2

Solving
-25 + v2 = 17 + -8v + 2v2

Solving for variable 'v'.

Reorder the terms:
-25 + -17 + 8v + v2 + -2v2 = 17 + -8v + 2v2 + -17 + 8v + -2v2

Combine like terms: -25 + -17 = -42
-42 + 8v + v2 + -2v2 = 17 + -8v + 2v2 + -17 + 8v + -2v2

Combine like terms: v2 + -2v2 = -1v2
-42 + 8v + -1v2 = 17 + -8v + 2v2 + -17 + 8v + -2v2

Reorder the terms:
-42 + 8v + -1v2 = 17 + -17 + -8v + 8v + 2v2 + -2v2

Combine like terms: 17 + -17 = 0
-42 + 8v + -1v2 = 0 + -8v + 8v + 2v2 + -2v2
-42 + 8v + -1v2 = -8v + 8v + 2v2 + -2v2

Combine like terms: -8v + 8v = 0
-42 + 8v + -1v2 = 0 + 2v2 + -2v2
-42 + 8v + -1v2 = 2v2 + -2v2

Combine like terms: 2v2 + -2v2 = 0
-42 + 8v + -1v2 = 0

Begin completing the square.  Divide all terms by
-1 the coefficient of the squared term: 

Divide each side by '-1'.
42 + -8v + v2 = 0

Move the constant term to the right:

Add '-42' to each side of the equation.
42 + -8v + -42 + v2 = 0 + -42

Reorder the terms:
42 + -42 + -8v + v2 = 0 + -42

Combine like terms: 42 + -42 = 0
0 + -8v + v2 = 0 + -42
-8v + v2 = 0 + -42

Combine like terms: 0 + -42 = -42
-8v + v2 = -42

The v term is -8v.  Take half its coefficient (-4).
Square it (16) and add it to both sides.

Add '16' to each side of the equation.
-8v + 16 + v2 = -42 + 16

Reorder the terms:
16 + -8v + v2 = -42 + 16

Combine like terms: -42 + 16 = -26
16 + -8v + v2 = -26

Factor a perfect square on the left side:
(v + -4)(v + -4) = -26

Can't calculate square root of the right side.

The solution to this equation could not be determined.