4v^2=-3v-3

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


Simplifying
4v2 = -3v + -3

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

Solving
4v2 = -3 + -3v

Solving for variable 'v'.

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

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

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

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

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

Divide each side by '4'.
0.75 + 0.75v + v2 = 0

Move the constant term to the right:

Add '-0.75' to each side of the equation.
0.75 + 0.75v + -0.75 + v2 = 0 + -0.75

Reorder the terms:
0.75 + -0.75 + 0.75v + v2 = 0 + -0.75

Combine like terms: 0.75 + -0.75 = 0.00
0.00 + 0.75v + v2 = 0 + -0.75
0.75v + v2 = 0 + -0.75

Combine like terms: 0 + -0.75 = -0.75
0.75v + v2 = -0.75

The v term is 0.75v.  Take half its coefficient (0.375).
Square it (0.140625) and add it to both sides.

Add '0.140625' to each side of the equation.
0.75v + 0.140625 + v2 = -0.75 + 0.140625

Reorder the terms:
0.140625 + 0.75v + v2 = -0.75 + 0.140625

Combine like terms: -0.75 + 0.140625 = -0.609375
0.140625 + 0.75v + v2 = -0.609375

Factor a perfect square on the left side:
(v + 0.375)(v + 0.375) = -0.609375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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