6v^2+20v+40=0

Simple and best practice solution for 6v^2+20v+40=0 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 6v^2+20v+40=0 equation: 


Simplifying
6v2 + 20v + 40 = 0

Reorder the terms:
40 + 20v + 6v2 = 0

Solving
40 + 20v + 6v2 = 0

Solving for variable 'v'.

Factor out the Greatest Common Factor (GCF), '2'.
2(20 + 10v + 3v2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(20 + 10v + 3v2)' equal to zero and attempt to solve:

Simplifying
20 + 10v + 3v2 = 0

Solving
20 + 10v + 3v2 = 0

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

Divide each side by '3'.
6.666666667 + 3.333333333v + v2 = 0

Move the constant term to the right:

Add '-6.666666667' to each side of the equation.
6.666666667 + 3.333333333v + -6.666666667 + v2 = 0 + -6.666666667

Reorder the terms:
6.666666667 + -6.666666667 + 3.333333333v + v2 = 0 + -6.666666667

Combine like terms: 6.666666667 + -6.666666667 = 0.000000000
0.000000000 + 3.333333333v + v2 = 0 + -6.666666667
3.333333333v + v2 = 0 + -6.666666667

Combine like terms: 0 + -6.666666667 = -6.666666667
3.333333333v + v2 = -6.666666667

The v term is 3.333333333v.  Take half its coefficient (1.666666667).
Square it (2.777777779) and add it to both sides.

Add '2.777777779' to each side of the equation.
3.333333333v + 2.777777779 + v2 = -6.666666667 + 2.777777779

Reorder the terms:
2.777777779 + 3.333333333v + v2 = -6.666666667 + 2.777777779

Combine like terms: -6.666666667 + 2.777777779 = -3.888888888
2.777777779 + 3.333333333v + v2 = -3.888888888

Factor a perfect square on the left side:
(v + 1.666666667)(v + 1.666666667) = -3.888888888

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

See similar equations:

| 4-5x=2x-10x | | 2x^4-3x^3-x^2+x+1=0 | | r+7r=-32 | | 8n+6=10 | | 5(x+3)=55 | | 11(x-7)=44 | | 276-3x=42x+21 | | 11x-8=25 | | 5x+30=3x+20 | | 3x+88=7x-12 | | 6(x-8)-2(x-3)+3x= | | 5z^2+20z-105=0 | | X(4x+7)=2 | | ax*x+bx+c=0findx | | 2w^2-11w-27=0 | | ax*x+bx+c=0 | | 5x+6y-13=0 | | 5(1-1)=20 | | 5(5y-1)=20 | | 3w^2-8w-35=0 | | 7-9e=4 | | 7/12-35= | | 10w^7+15w^6-45w^5= | | 9x^2+4y=36 | | 5x+87=11x-9 | | -5t^2+135t+10=0 | | 12-8x=34x+22x | | 2w^2-5w-2-w^2+8w-16=0 | | 3m= | | 123569875m-39695369=1 | | 2g-67=32 | | ax+bx+c=0findx |

Equations solver categories