2v^2+3=4v

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Solution for 2v^2+3=4v equation:


Simplifying
2v2 + 3 = 4v

Reorder the terms:
3 + 2v2 = 4v

Solving
3 + 2v2 = 4v

Solving for variable 'v'.

Reorder the terms:
3 + -4v + 2v2 = 4v + -4v

Combine like terms: 4v + -4v = 0
3 + -4v + 2v2 = 0

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

Divide each side by '2'.
1.5 + -2v + v2 = 0

Move the constant term to the right:

Add '-1.5' to each side of the equation.
1.5 + -2v + -1.5 + v2 = 0 + -1.5

Reorder the terms:
1.5 + -1.5 + -2v + v2 = 0 + -1.5

Combine like terms: 1.5 + -1.5 = 0.0
0.0 + -2v + v2 = 0 + -1.5
-2v + v2 = 0 + -1.5

Combine like terms: 0 + -1.5 = -1.5
-2v + v2 = -1.5

The v term is -2v.  Take half its coefficient (-1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
-2v + 1 + v2 = -1.5 + 1

Reorder the terms:
1 + -2v + v2 = -1.5 + 1

Combine like terms: -1.5 + 1 = -0.5
1 + -2v + v2 = -0.5

Factor a perfect square on the left side:
(v + -1)(v + -1) = -0.5

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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