2v^2-7v+34=v^2-4v+4

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Solution for 2v^2-7v+34=v^2-4v+4 equation: 


Simplifying
2v2 + -7v + 34 = v2 + -4v + 4

Reorder the terms:
34 + -7v + 2v2 = v2 + -4v + 4

Reorder the terms:
34 + -7v + 2v2 = 4 + -4v + v2

Solving
34 + -7v + 2v2 = 4 + -4v + v2

Solving for variable 'v'.

Reorder the terms:
34 + -4 + -7v + 4v + 2v2 + -1v2 = 4 + -4v + v2 + -4 + 4v + -1v2

Combine like terms: 34 + -4 = 30
30 + -7v + 4v + 2v2 + -1v2 = 4 + -4v + v2 + -4 + 4v + -1v2

Combine like terms: -7v + 4v = -3v
30 + -3v + 2v2 + -1v2 = 4 + -4v + v2 + -4 + 4v + -1v2

Combine like terms: 2v2 + -1v2 = 1v2
30 + -3v + 1v2 = 4 + -4v + v2 + -4 + 4v + -1v2

Reorder the terms:
30 + -3v + 1v2 = 4 + -4 + -4v + 4v + v2 + -1v2

Combine like terms: 4 + -4 = 0
30 + -3v + 1v2 = 0 + -4v + 4v + v2 + -1v2
30 + -3v + 1v2 = -4v + 4v + v2 + -1v2

Combine like terms: -4v + 4v = 0
30 + -3v + 1v2 = 0 + v2 + -1v2
30 + -3v + 1v2 = v2 + -1v2

Combine like terms: v2 + -1v2 = 0
30 + -3v + 1v2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-30' to each side of the equation.
30 + -3v + -30 + v2 = 0 + -30

Reorder the terms:
30 + -30 + -3v + v2 = 0 + -30

Combine like terms: 30 + -30 = 0
0 + -3v + v2 = 0 + -30
-3v + v2 = 0 + -30

Combine like terms: 0 + -30 = -30
-3v + v2 = -30

The v term is -3v.  Take half its coefficient (-1.5).
Square it (2.25) and add it to both sides.

Add '2.25' to each side of the equation.
-3v + 2.25 + v2 = -30 + 2.25

Reorder the terms:
2.25 + -3v + v2 = -30 + 2.25

Combine like terms: -30 + 2.25 = -27.75
2.25 + -3v + v2 = -27.75

Factor a perfect square on the left side:
(v + -1.5)(v + -1.5) = -27.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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