24v^2+119+61=-v^2+1+4v

Solution for 24v^2+119+61=-v^2+1+4v equation:

Simplifying
24v2 + 119 + 61 = -1v2 + 1 + 4v

Reorder the terms:
119 + 61 + 24v2 = -1v2 + 1 + 4v

Combine like terms: 119 + 61 = 180
180 + 24v2 = -1v2 + 1 + 4v

Reorder the terms:
180 + 24v2 = 1 + 4v + -1v2

Solving
180 + 24v2 = 1 + 4v + -1v2

Solving for variable 'v'.

Reorder the terms:
180 + -1 + -4v + 24v2 + v2 = 1 + 4v + -1v2 + -1 + -4v + v2

Combine like terms: 180 + -1 = 179
179 + -4v + 24v2 + v2 = 1 + 4v + -1v2 + -1 + -4v + v2

Combine like terms: 24v2 + v2 = 25v2
179 + -4v + 25v2 = 1 + 4v + -1v2 + -1 + -4v + v2

Reorder the terms:
179 + -4v + 25v2 = 1 + -1 + 4v + -4v + -1v2 + v2

Combine like terms: 1 + -1 = 0
179 + -4v + 25v2 = 0 + 4v + -4v + -1v2 + v2
179 + -4v + 25v2 = 4v + -4v + -1v2 + v2

Combine like terms: 4v + -4v = 0
179 + -4v + 25v2 = 0 + -1v2 + v2
179 + -4v + 25v2 = -1v2 + v2

Combine like terms: -1v2 + v2 = 0
179 + -4v + 25v2 = 0

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

Divide each side by '25'.
7.16 + -0.16v + v2 = 0

Move the constant term to the right:

Add '-7.16' to each side of the equation.
7.16 + -0.16v + -7.16 + v2 = 0 + -7.16

Reorder the terms:
7.16 + -7.16 + -0.16v + v2 = 0 + -7.16

Combine like terms: 7.16 + -7.16 = 0.00
0.00 + -0.16v + v2 = 0 + -7.16
-0.16v + v2 = 0 + -7.16

Combine like terms: 0 + -7.16 = -7.16
-0.16v + v2 = -7.16

The v term is -0.16v.  Take half its coefficient (-0.08).
Square it (0.0064) and add it to both sides.

Add '0.0064' to each side of the equation.
-0.16v + 0.0064 + v2 = -7.16 + 0.0064

Reorder the terms:
0.0064 + -0.16v + v2 = -7.16 + 0.0064

Combine like terms: -7.16 + 0.0064 = -7.1536
0.0064 + -0.16v + v2 = -7.1536

Factor a perfect square on the left side:
(v + -0.08)(v + -0.08) = -7.1536

Can't calculate square root of the right side.

The solution to this equation could not be determined.