9v^2+6v-1=0

Simple and best practice solution for 9v^2+6v-1=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+6v-1=0 equation: 


Simplifying
9v2 + 6v + -1 = 0

Reorder the terms:
-1 + 6v + 9v2 = 0

Solving
-1 + 6v + 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'.
-0.1111111111 + 0.6666666667v + v2 = 0

Move the constant term to the right:

Add '0.1111111111' to each side of the equation.
-0.1111111111 + 0.6666666667v + 0.1111111111 + v2 = 0 + 0.1111111111

Reorder the terms:
-0.1111111111 + 0.1111111111 + 0.6666666667v + v2 = 0 + 0.1111111111

Combine like terms: -0.1111111111 + 0.1111111111 = 0.0000000000
0.0000000000 + 0.6666666667v + v2 = 0 + 0.1111111111
0.6666666667v + v2 = 0 + 0.1111111111

Combine like terms: 0 + 0.1111111111 = 0.1111111111
0.6666666667v + v2 = 0.1111111111

The v term is 0.6666666667v.  Take half its coefficient (0.3333333334).
Square it (0.1111111112) and add it to both sides.

Add '0.1111111112' to each side of the equation.
0.6666666667v + 0.1111111112 + v2 = 0.1111111111 + 0.1111111112

Reorder the terms:
0.1111111112 + 0.6666666667v + v2 = 0.1111111111 + 0.1111111112

Combine like terms: 0.1111111111 + 0.1111111112 = 0.2222222223
0.1111111112 + 0.6666666667v + v2 = 0.2222222223

Factor a perfect square on the left side:
(v + 0.3333333334)(v + 0.3333333334) = 0.2222222223

Calculate the square root of the right side: 0.471404521

Break this problem into two subproblems by setting 
(v + 0.3333333334) equal to 0.471404521 and -0.471404521.


Subproblem 1
v + 0.3333333334 = 0.471404521

Simplifying
v + 0.3333333334 = 0.471404521

Reorder the terms:
0.3333333334 + v = 0.471404521

Solving
0.3333333334 + v = 0.471404521

Solving for variable 'v'.

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

Add '-0.3333333334' to each side of the equation.
0.3333333334 + -0.3333333334 + v = 0.471404521 + -0.3333333334

Combine like terms: 0.3333333334 + -0.3333333334 = 0.0000000000
0.0000000000 + v = 0.471404521 + -0.3333333334
v = 0.471404521 + -0.3333333334

Combine like terms: 0.471404521 + -0.3333333334 = 0.1380711876
v = 0.1380711876

Simplifying
v = 0.1380711876


Subproblem 2
v + 0.3333333334 = -0.471404521

Simplifying
v + 0.3333333334 = -0.471404521

Reorder the terms:
0.3333333334 + v = -0.471404521

Solving
0.3333333334 + v = -0.471404521

Solving for variable 'v'.

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

Add '-0.3333333334' to each side of the equation.
0.3333333334 + -0.3333333334 + v = -0.471404521 + -0.3333333334

Combine like terms: 0.3333333334 + -0.3333333334 = 0.0000000000
0.0000000000 + v = -0.471404521 + -0.3333333334
v = -0.471404521 + -0.3333333334

Combine like terms: -0.471404521 + -0.3333333334 = -0.8047378544
v = -0.8047378544

Simplifying
v = -0.8047378544


Solution
The solution to the problem is based on the solutions
from the subproblems.
v = {0.1380711876, -0.8047378544}

See similar equations:

| 2z-4i=iz+2 | | 8b^2-10b-6=0 | | -5m^2+7m+34=0 | | 2p^2*4p^3*5m^4= | | 2p^2*4p^3= | | 6n^2+8n-64=0 | | 3m^2-5m-28=0 | | C=(7x+8)(8-7x) | | R=(x-3)(4-5x) | | 311/21+28/21 | | 11/21+8/21 | | B=(9x+11)(9x-11) | | G=(4x-7) | | B=-5x(6-8x) | | 1+-4(x+4)=x | | (x+1)(x+3)(x+4)(x+6)=72 | | x^2dx/(7-9x^3)^12 | | (4X)*(4x)=576 | | (4x)x(4x)=576 | | y=–2x+3/2 | | 43+2= | | (x^2)-(15)=-2x | | 5+4b=-1 | | x(2x+5)=7 | | y=ln^2(3x-1) | | (10-6)*(2+9)/3 | | 800/x+32x=0 | | 2X^2+1/2X=0 | | 29x+21/45=0 | | x^2+p^2-px+4=0 | | (X+1)*(2X-2)=X*(X+1)+(X+1)*(1-2X) | | (D^3+D^2+D+6)y=0 |

Equations solver categories