2v^2+2v+40=v^2-16

Simple and best practice solution for 2v^2+2v+40=v^2-16 equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

Solution for 2v^2+2v+40=v^2-16 equation:


Simplifying
2v2 + 2v + 40 = v2 + -16

Reorder the terms:
40 + 2v + 2v2 = v2 + -16

Reorder the terms:
40 + 2v + 2v2 = -16 + v2

Solving
40 + 2v + 2v2 = -16 + v2

Solving for variable 'v'.

Reorder the terms:
40 + 16 + 2v + 2v2 + -1v2 = -16 + v2 + 16 + -1v2

Combine like terms: 40 + 16 = 56
56 + 2v + 2v2 + -1v2 = -16 + v2 + 16 + -1v2

Combine like terms: 2v2 + -1v2 = 1v2
56 + 2v + 1v2 = -16 + v2 + 16 + -1v2

Reorder the terms:
56 + 2v + 1v2 = -16 + 16 + v2 + -1v2

Combine like terms: -16 + 16 = 0
56 + 2v + 1v2 = 0 + v2 + -1v2
56 + 2v + 1v2 = v2 + -1v2

Combine like terms: v2 + -1v2 = 0
56 + 2v + 1v2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-56' to each side of the equation.
56 + 2v + -56 + v2 = 0 + -56

Reorder the terms:
56 + -56 + 2v + v2 = 0 + -56

Combine like terms: 56 + -56 = 0
0 + 2v + v2 = 0 + -56
2v + v2 = 0 + -56

Combine like terms: 0 + -56 = -56
2v + v2 = -56

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 = -56 + 1

Reorder the terms:
1 + 2v + v2 = -56 + 1

Combine like terms: -56 + 1 = -55
1 + 2v + v2 = -55

Factor a perfect square on the left side:
(v + 1)(v + 1) = -55

Can't calculate square root of the right side.

The solution to this equation could not be determined.

See similar equations:

| 41-y-3=4(y-3) | | -6y+y= | | 54a^5b^2/81a^3b^3 | | 5x-11=12x-66 | | 14x-194=5x-5 | | (2x-7)/2=25 | | x=7*4,5-14+2 | | 14+7x=62-5x | | y/21=10 | | 2x^2-x^4=0.5 | | 101=x-27 | | 0.95=(18+x)/(20+x) | | 3x^4+39x^3+21x^2=0 | | 6-3x=4x-22 | | 3x+2x-14x=34.54 | | x/2+6=12 | | 3x-x=45 | | 171=55*t | | n+5-44=n-4 | | 7y-14+2=3y+6 | | 2x-x=11.75 | | n+5-44=-4+n | | n+5-44=-4n | | 8x+64=-16 | | x^2+y^2+4x+6y+4=0 | | -3a+5=-4a+4 | | 1/4x-7/8x=30-75 | | 2a-6= | | -2x^2-16x-32=0 | | x+3iy+i(2x+iy)=5 | | -35+15=-4x+8x | | 183-10x=10x+17 |

Equations solver categories