-6v^2-19v-21=0

Simple and best practice solution for -6v^2-19v-21=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^2-19v-21=0 equation: 


Simplifying
-6v2 + -19v + -21 = 0

Reorder the terms:
-21 + -19v + -6v2 = 0

Solving
-21 + -19v + -6v2 = 0

Solving for variable 'v'.

Factor out the Greatest Common Factor (GCF), '-1'.
-1(21 + 19v + 6v2) = 0

Ignore the factor -1.

Subproblem 1
Set the factor '(21 + 19v + 6v2)' equal to zero and attempt to solve:

Simplifying
21 + 19v + 6v2 = 0

Solving
21 + 19v + 6v2 = 0

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

Divide each side by '6'.
3.5 + 3.166666667v + v2 = 0

Move the constant term to the right:

Add '-3.5' to each side of the equation.
3.5 + 3.166666667v + -3.5 + v2 = 0 + -3.5

Reorder the terms:
3.5 + -3.5 + 3.166666667v + v2 = 0 + -3.5

Combine like terms: 3.5 + -3.5 = 0.0
0.0 + 3.166666667v + v2 = 0 + -3.5
3.166666667v + v2 = 0 + -3.5

Combine like terms: 0 + -3.5 = -3.5
3.166666667v + v2 = -3.5

The v term is 3.166666667v.  Take half its coefficient (1.583333334).
Square it (2.506944447) and add it to both sides.

Add '2.506944447' to each side of the equation.
3.166666667v + 2.506944447 + v2 = -3.5 + 2.506944447

Reorder the terms:
2.506944447 + 3.166666667v + v2 = -3.5 + 2.506944447

Combine like terms: -3.5 + 2.506944447 = -0.993055553
2.506944447 + 3.166666667v + v2 = -0.993055553

Factor a perfect square on the left side:
(v + 1.583333334)(v + 1.583333334) = -0.993055553

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:

| Log(2x+6)+log(5)=1 | | 36+45= | | 4x^2-10x-2=10 | | 4z-5z=15 | | 5(w-4)-8w=-5 | | 8x-11=12x+10 | | p+q+10cq+10cq= | | 6(x+6)=4x+34 | | 4z=5z+15 | | -11-x+2x=15 | | 8n/4=4 | | 8y+(8y*8y)= | | -30/5=? | | y=[x-(1+i)]*[x-(1-i)] | | 1/2r-=90 | | -38=-8+6(w-4) | | 213=54x+3 | | -9y-8=100 | | 2y+6x=-16 | | -6p+12=0 | | -7x-12x-83=47 | | 11x-1=6x+4 | | 2.67c-2=0.67c-12 | | -x-59+11x=61 | | -20=4(u-2)-6u | | 296400/1472= | | 9x+5=-6x+50 | | 2f-6=20 | | =201.3586956521739 | | 5+(3x-7)=12x+6 | | G=xc+y | | -18+4x-2x=32 |

Equations solver categories