9v^2+3v-19=0

Simple and best practice solution for 9v^2+3v-19=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 9v^2+3v-19=0 equation: 


Simplifying
9v2 + 3v + -19 = 0

Reorder the terms:
-19 + 3v + 9v2 = 0

Solving
-19 + 3v + 9v2 = 0

Solving for variable 'v'.

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

Divide each side by '9'.
-2.111111111 + 0.3333333333v + v2 = 0

Move the constant term to the right:

Add '2.111111111' to each side of the equation.
-2.111111111 + 0.3333333333v + 2.111111111 + v2 = 0 + 2.111111111

Reorder the terms:
-2.111111111 + 2.111111111 + 0.3333333333v + v2 = 0 + 2.111111111

Combine like terms: -2.111111111 + 2.111111111 = 0.000000000
0.000000000 + 0.3333333333v + v2 = 0 + 2.111111111
0.3333333333v + v2 = 0 + 2.111111111

Combine like terms: 0 + 2.111111111 = 2.111111111
0.3333333333v + v2 = 2.111111111

The v term is 0.3333333333v.  Take half its coefficient (0.1666666667).
Square it (0.02777777779) and add it to both sides.

Add '0.02777777779' to each side of the equation.
0.3333333333v + 0.02777777779 + v2 = 2.111111111 + 0.02777777779

Reorder the terms:
0.02777777779 + 0.3333333333v + v2 = 2.111111111 + 0.02777777779

Combine like terms: 2.111111111 + 0.02777777779 = 2.13888888879
0.02777777779 + 0.3333333333v + v2 = 2.13888888879

Factor a perfect square on the left side:
(v + 0.1666666667)(v + 0.1666666667) = 2.13888888879

Calculate the square root of the right side: 1.462494065

Break this problem into two subproblems by setting 
(v + 0.1666666667) equal to 1.462494065 and -1.462494065.


Subproblem 1
v + 0.1666666667 = 1.462494065

Simplifying
v + 0.1666666667 = 1.462494065

Reorder the terms:
0.1666666667 + v = 1.462494065

Solving
0.1666666667 + v = 1.462494065

Solving for variable 'v'.

Move all terms containing v to the left, all other terms to the right.

Add '-0.1666666667' to each side of the equation.
0.1666666667 + -0.1666666667 + v = 1.462494065 + -0.1666666667

Combine like terms: 0.1666666667 + -0.1666666667 = 0.0000000000
0.0000000000 + v = 1.462494065 + -0.1666666667
v = 1.462494065 + -0.1666666667

Combine like terms: 1.462494065 + -0.1666666667 = 1.2958273983
v = 1.2958273983

Simplifying
v = 1.2958273983


Subproblem 2
v + 0.1666666667 = -1.462494065

Simplifying
v + 0.1666666667 = -1.462494065

Reorder the terms:
0.1666666667 + v = -1.462494065

Solving
0.1666666667 + v = -1.462494065

Solving for variable 'v'.

Move all terms containing v to the left, all other terms to the right.

Add '-0.1666666667' to each side of the equation.
0.1666666667 + -0.1666666667 + v = -1.462494065 + -0.1666666667

Combine like terms: 0.1666666667 + -0.1666666667 = 0.0000000000
0.0000000000 + v = -1.462494065 + -0.1666666667
v = -1.462494065 + -0.1666666667

Combine like terms: -1.462494065 + -0.1666666667 = -1.6291607317
v = -1.6291607317

Simplifying
v = -1.6291607317


Solution
The solution to the problem is based on the solutions
from the subproblems.
v = {1.2958273983, -1.6291607317}

See similar equations:

| f(x)=5(x+6) | | 2(x-1)+2=4x-2(-1+x) | | 7x^2-12x+7=0 | | 8x^3+28x^2-60x=0 | | 4.8(x-4)=0.2+15.8 | | -0.3(-3x+4)+2.8x= | | 15x^2y-21xy-12x=0 | | 4x-0.8=-12 | | 2m^2+9m-45=0 | | 6=-8p-4+9p | | (8-2i)(2+5i)= | | 11(2t-4)=11 | | solve(3a^2-9)=(-4+2a) | | 13x^3-144x^2-144x=0 | | -21-7x=14 | | [2n-3]=15 | | x^2-44x+120=0 | | S(t)=-4800t+52800 | | h=-16t^2-14t+170 | | x^2-88x+480=0 | | 2(y+3)-2=12 | | 25-x=-6x | | -8(6x+7)+3= | | 23-3x=5x-1 | | 18x-9=3(4x+5) | | y=3x^2+60x-70 | | 3m+6n=6 | | 17-x=5x+5 | | -3x+6=3-6x | | x-1.2= | | ln(2x-8)=11 | | j+j+10=30 |

Equations solver categories